Current User Variable in Formula Field

I love that new Current User variable, but I can’t find a way to take advantage of it because my interface filter criteria isn’t on a collaborator field but instead is on a formula field that determines the “current owner” of a task based on a set of criteria (the output always matches collaborator names). Maybe could set up an automation to set a new collaborator field to match the formula field, but that feels clunky and unreliable, if it’s possible at all.

Any ideas?