So if the instructor is along to assess, and not to fly
They may nonetheless intervene in other ways which you wouldn't expect of a passenger.
On a recent check ride the instructor said, when I was a couple of feet above the runway, "go around". Not something any club instructor had said to me for years, and in my view it was reasonable for the club to check whether I had actually remembered how to go around.
Clearly in those circumstances the instructor was ready to intervene if, in fact, I hadn't remembered how to go around.
Similarly, a club check instructor might tell you which runway to land on, or tell you to stop by a certain point, or tell you to fly a low level bad weather circuit, or whatever.
I'm quite happy to log such flights as Pu/t: I don't get what all the fuss is about. I always have the option of flying more often and not running out of currency: their train set, their rules, I pays my money and takes my choice.