Think Coriel over at Blessing of Kings had asked on the Beta Forum in a thread she started if HotR Critted so went looking through every screenshot i took capturing my combat logs testing stuff. I can confirm that HotR does Crit as it did here when i was testing out Seal of Blood most recently when I was grinding on Rune Golems. Was using the green Quest dps weapon here and wearing the green Cobalt Set.
It did here back earlier on when I was questing earlier in zone in a screenshot, looking at that I was probably using my spell damage blade since it uses Weapons Damage. That's the only two times I've captured a screenshot with a HotR crit. As far as i can tell don't seem to Crit any more often than any of our other attacks.
I was just retesting HotR to see if can see again in its bugged state. I was hitting a Frosthorn Ram and I noticed not only in the current form HotR can be Deflected/Blocked partially but I noticed I the hit was also Dodged so made sure I screened it for proof.
Figure i put this here vs making another post. However tool tip at 71 say Retribution Aura does 62 damage to anyone that strikes. Combat log shows with my Enchanted Continuum Blade (161 Spell Power) that Retribution Aura does 112-113 damage consistently. When I equipt my quest green Coldstone Cutlass it does 101 damage consistently whenever it goes off. I changed Blessing from Might to Wisdom and it does not in any way seem modified by AP. Just Spell Power as with my spell blade.