Build-up like boosts and Judgement

I was wondering, does Judgement profit from boosts like build up, aim, sunless mire, etc. ?

No, judgements are completely unaffected by damage buffs, except for other incarnate slots, like the musculature alpha slot(and any other damage alphas they may add later), and DoT from interfaces(technically not a 'damage buff' but I thought I'd mention it still, since it increases overall damage).

No, it does not. It benefits from your Alpha power and procs Interface, and of course your tohit and global accuracy bonuses affect its hit chance, but otherwise it's unaffected by any buffs or debuffs you may have. This means it will not do more damage during Build Up, but it also will not do less damage during a Rage crash.

I guess I won't be dual-miring before my Void Judgement anymore

I will say i did not know this but it did seem like things were not dying any more while firing them off when my rage bar was filled compared to when I would fire it while it was practically empty.

Am I right to assume this means fiery embrace does not boost pyronic?

Correct. Fiery Embrace only benefits the powers specifically flagged to do so, which includes every Brute power I can think of, but not temporary powers nor Judgements.

Fiery embrace boosting fire damage is one of the reasons i went pyronic.

I guess the faster animation time is enough to keep it. plus the dot. using ionic on my brute was bothering me.

Fiery Embrace doesn't specifically boost fire damage, despite the description. The text was never updated for the i18 change. It now adds an extra hit of fire (equal to about 45% of the attack's normal damage) to applicable attacks for 20 seconds.

oh, i knew thats how it worked. I just thought it applied that to the non fire attacks. Not sure what I was thinking applied to the fire attacks. Either damage boost or extra fire damage, more so than the non fire ones got. I guess at least I'll be using Fiery embrace now whenever its up rather than waiting however many seconds for pyronic to be back up first.

Judgement powers also ignore the damage debuff from a Rage crash (just like the Vet powers; i.e. Blackwand, Nemesis Staff, Sands of Mu, and Ghost Slaying Axe). I tend to just use my Judgement when Rage crashes if it's during a fight.

And any debuffs, resistance specifically, such as provided by Tar Patch, Sleet or Freezing Rain do increase the damage ... correct?

Doomguide

Musculature+Sleet+Pyronic Judgment = over 9000.

^ One reason why I like my doms, they just do so much damage with Judgment.