At U1600 maybe U1700 or so I didn't have any plans other than a move looked reasonable (gained some space or activity) and wasn't a tactical blunder.
So I don't think many people have plans. When I talk to 1500 rated players they had a plan, but usually switch or change their minds every few moves.
So I think they would verbalize a plan to you, but I don't think their play would actually reflect them executing that plan... at least not consistently.
If they won anyway, that would be normal. At a certain level it's just waiting for tactics with a dash of common sense (like not moving the same piece twice, not putting pieces where they're easily chased away, open lines where you're trying to attack, etc).
If I asked any player to tell me what their plan was, they should be able to do it right? What if they couldn't but still won the game?