The problem with that design is that it often causes useless overheal for DPS gains
Misery is always a gain if you keep it aligned to the 2 and 1 minute burst window so 3 lilys every minute is always a gain, this doesn’t care if you actually need to spend 3 lilys per minute or not. This is the same problem star runs into, though at least Star has a 10 second window you can optimise its healing around. Assize also has this problem
If a healing tool is a gain on damage then it’s a damage tool with sometimes incidentally useful healing, if it’s a loss (like toxicon) then at best it’s a wonky partial refund, at worst it’s a vestigial noob trap