First of all, why don't we all define each Incarnate Ability? Each name has many definitions. Which one stands out?!
Here are the possible concepts the Developers may have:
1. Alpha: Physics and Chemistry. Leaving your old state. Enhancing your new you. Powerful than your old state.
2. Judgment: Heaven or Hell. In other words, you are going to either die or not. The nuke is probably indicating the NPC's judgement..
3. Interface: In paragon wiki it states an interface (chemistry) is a surface forming a common boundary among two different phases, such as an insoluble solid and a liquid, two immiscible liquids or a liquid and an insoluble gas. The importance of the interface depends on which type of system is being treated: the bigger the quotient area/volume, the more effect the surface phenomena will have. Therefore interfaces will be considered in systems with big area/volume ratios, such as colloids. Hence the procs chance hitting in the most damaging power. It actually fires off in any power that can slot a damage enhancement.
4. Lore: This one is very difficult to research. The only close definition I could find is an inspiration the Devs might have on this character:
http://memory-alpha.org/wiki/Lore
Hence the praetorians. Advanced soldiers of some kind... Still, it's very confusing.
5. Destiny: In control of your fate. Free will. Hence the buffs.
6. Hybrid: Hybrid has many definitions, as well as the other Incarnate names. Here is what I found.
Biologist perspective:
(a) In general usage, hybrid is synonymous with heterozygous: any offspring resulting from the mating of two distinctly homozygous individuals
(b) a genetic hybrid carries two different alleles of the same gene
(c) a structural hybrid results from the fusion of gametes that have differing structure in at least one chromosome, as a result of structural abnormalities
(d) a numerical hybrid results from the fusion of gametes having different haploid numbers of chromosomes
(e) a permanent hybrid is a situation where only the heterozygous genotype occurs, because all homozygous combinations are lethal.
Taxanomic perspective:
(a) Hybrids between different subspecies within a species (such as between the Bengal tiger and Siberian tiger) are known as intra-specific hybrids. Hybrids between different species within the same genus (such as between lions and tigers) are sometimes known as interspecific hybrids or crosses. Hybrids between different genera (such as between sheep and goats) are known as intergeneric hybrids. Extremely rare interfamilial hybrids have been known to occur (such as the guineafowl hybrids). No interordinal (between different orders) animal hybrids are known.
(b) The second type of hybrid consists of crosses between populations, breeds or cultivars within a single species. This meaning is often used in plant and animal breeding, where hybrids are commonly produced and selected because they have desirable characteristics not found or inconsistently present in the parent individuals or populations. This flow of genetic material between populations or races is often called hybridization.
So..
This could be an Image of your character, with slightly same powers as you but with a different ability. It could also mean an advanced version of your character. You'll be the judge of that.
7. Genesis: This one is very tricky. So I researched the whole wiki links and I found:
Science Fiction stuff: (G)amma (E)mission by N()uclear (E)xplosion (S)timulate (I)nducing (S)ystem
GENESIS uses multiple nuclear devices with Neutron Jammer Cancellers to produce a massive burst of gamma radiation, which is reflected back by an external alignment mirror and focused by a second mirror into a laser beam. This laser is sufficiently powerful that if it were to hit the Earth, a great part of the surface would be destroyed and nearly all life on the planet would be exterminated. It causes human bodies closest to the shot to inflate and explode.
I also found a very related topic of it on Religious section:
Remember in the first book of the Bible? Where God asked Noah to build an Arc? Because God is going to destroy the world by water, because evil has dominated the world. The book of Genesis is not only the creation of the universe but it also states the destruction of the whole planet to start from the beginning.
So this could be a Nuke, that has very wide area of effect. In Judgement, we have Fire, Ice, Dark and Electric... Now it can only mean we get a Toxic/Radiation nuke, Psionic Nuke, Lethal damage and possibly smashing.
8. Stance: I did some researching, and it all falls down to Defense and Resistance. This will be a buff. In Boxing, there are lots of stances to use as a defense, while you surprise an attack to your opponent. Same in karate, taekwondo and any martial arts.
9. Vitae: Vita in Latin and Italian means Life. Life (biota) is a characteristic that distinguishes objects that have signaling and self-sustaining processes (i. e., living organisms) from those that do not, either because such functions have ceased (death), or else because they lack such functions and are classified as inanimate.
Vitalism is the belief that the life-principle is essentially immaterial. Vitalism underpinned the idea of a fundamental separation of organic and inorganic material, and the belief that organic material can only be derived from living things.
I also found:
Viruses are most often considered replicators rather than forms of life. They have been described as "organisms at the edge of life," since they possess genes, evolve by natural selection, and replicate by creating multiple copies of themselves through self-assembly. However, viruses do not metabolize and require a host cell to make new products. Virus self-assembly within host cells has implications for the study of the origin of life, as it may support the hypothesis that life could have started as self-assembling organic molecules.
This could be some debuff proc, or a buff.
10. Omega: Omega is a continuation of Alpha. A compliment to Alpha, that finishes off Alpha. To make as a whole. I also found out in chemistry persective, Omega enhances all abilities multiple times. Therefore like alpha slot, Omega will enhance Alpha, Judgement, Interface, Lore, Destiny, Hybrid, Genesis, Stance, Vitae.
*The list is from un-updated version of paragon wiki. I don't have (Mind).
Like OZ said, it mostly worked the same as pve and made sense. Most all types of toons were viable and they each had a role in the team dynamics. Now? Not so much....