It may not be adjustable, that's why I asked the question rather than stating it as fact.
From quick testing I just did the profiler does start when rF2 is run, and sits there telling steam rF2 is running even after you quit and close the launcher. I obviously have the profiler sitting there the whole time so it never causes such problems.
The point I'm making, is that the game isn't starting the profiler in that scenario. The profiler is presumably registered with the controller in windows and starts when the controller is initiated by a game. The game can't choose not to do it, doesn't do it itself, and has no reason to (and definitely shouldn't) try to close the profiler on exit.
*But hey, I might be wrong