TA offers more burst damage through OSA than the buff secondaries and it has decent debuffs and a fair amount of control, for a corruptor secondary. But, it brings no buffs at all. Storm is light on buffs as well, although it has some and it offers decent damage and strong debuffs.
If you'd like TA or storm for pure enjoyment, then in the hands of a good player either set can contribute a lot in any non-extreme setting. But, if your primary concern is high-end performance at buffing and debuffing in team play, then cold, thermal, rad, or traps will bring more to the table.
That nod in the general direction of "the numbers" having been given, by all means play whatever you enjoy.
Storm is basically superior in every stat. The only debuffs ta does more of is movement(not -rech, storm does more) and defense. Since your primary has the best accuracy stats of all the sets, the defense debuff difference is negligible. Storm also has much better mitigation, and after looking at the sets together, arch/storm has some nice synergy.
Storm has one -resistance power, Freezing Rain, which is also nice because its got a movement&recharge (slow) debuff AND knockback, so its a perfect opener. Its also a targetted AoE, just like your primary's bread and butter, rain of arrows.
Storm also comes with a moderate all-type defense buff and good resistance to fire/cold/energy from steamy mist. This is very helpful if you plan to softcap your toon to some type of defense.
Also, the damage storm brings to the table is second to none. LS is good control and damage, and the fun doubles when you have two out. Tornado, though situational, is insane.
Storm is my favorite support set. There are few things in this game that contend with the fun factor of having multiple FR's, LS's, and Nado's out at a time.
EDIT: and Ive played a couple TA's before. Thought this should be added in since I close it with "storm is my favorite set."
If I were to make an Archery/, would it be better off with /storm or /AR?
I think I want the sort of corruptor that can do more debuffing/buffing; and can perform well in team and tfs.
Thanks