Play With Your Food
This is just an idea i thought was fun writing, don't go crazy on how unbalanced it could be.
What if PWYF could make it so, instead of gaining more speed, it'll prevent Bloodlust tiers from being lost?
Each Token would represent a tier: The first Token you gain prevents Bloodlust I from being lost, Token #2 keeps Bloodlust II & Token #3 keeps Bloodlust III.
Every successful hit that you deal removes 1 Token & 1 Bloodlust tier.
Pallets would now also count as an offensive action, removing 1 Token & 1 Bloodlust tier upon successfully breaking one.
Successfully hitting your Obsession removes all Tokens and all Bloodlust tiers.
The amount of Tokens that you can have would depend on Perk level, so it's useful on level 1 and gains more on level 2 & 3.
Maybe also make it so you can gain Tokens from other Survivors instead of just the Obsession? Idk.

Comments
You could make it into a STBFL type obsession perk.
Every time you let a non-obsession get away from you, you gain a stack.
Any time you break a pallet or hit the Obsession, you lose a 3/2/1 stack(s).