Chaosmancer
Legend
OK. Most of your interpretations seem to assume that the PC should only briefly leave the cover in order to maintain the condition.
Mostly because I didn't think it was pertinent to add: PC hides, then walks for an hour down an abandoned hallway with no other creatures around, then presses up against an archway at the end of the hall, and maintains the condition. Which I think is perfectly viable.
And it would be nice if rules required such, but they don't.
They do if you see the part about "find you" and don't think it can only ever be a single specific action which must be taken, but interpret it more broadly to cover other types of actions like I have repeatedly listed.
And we don't need to assume intentional bad faith play from the player for weirdness and ambiguity to arise. By the rules the character could move around in a room full of people as long as they like, and remain undetected, especially if the people there had no reason to suspect anyone would be there and would not take search action. Now at what point this becomes absurd? How many people there need to be, how long must the PC move around in the room?
I think clause that hidden character must end their turn in cover if they wish to remain hidden would at least significantly lessen absurdities whilst maintaining usefulness of the action.
This is only absurd if you insist it must be absurd. There are three or four ways to make this work perfectly fine within the fiction, depending on what you are actually doing. If you take reasonable actions with reasonable expectations, then the rules cover it perfectly fine.