Body of Avatar (later called BoA) and Battle Roar (BR) have two effects
HealPercent - which restores 35% hp
Buff - which increases max hp by 35%
It would seem they are merged into one effect here. And since Improved condition is better buff (since it gives 35% hp and mp) BoA and BR effects can't go past it, therefore heal effect from these skills is not possible as long as we have improved condition. With just the bless the body buff both BoA and BR work fine.