I'll toss it out there that 100% pure FP is pretty much the epitome of keeping a stack of state somewhere... But I wouldn't claim it's too similar or intuitive to someone more used to standard state management.
I'm copying the op who I actually think meant to say "keep track of state", but "stack of state" feels like having a bunch of "pieces of state" all tidily stacked up in the corner so despite the potential confusion with the technical term I kept it.