Purify counter turns into poison counter of the same amount when the affected creature is catapulted. Maybe a bug, maybe intentional.
Healing works everytime the creature attacks, so it interacts with Adren like normal poison counter.
With Voodoo Doll and Accel, the damage done by acceleration is healed by purify, but no damage done to opponent from voodoo passive.
Good work on new Purify. Now it can finally see more use.