Well, yes, but that's basically a rationalization for the glaring inconsistency, which in fact exists as a sheer historical accident. Americans would be bothered by explicitly random traffic stops. But in reality, cops have the de facto authority to pull over whomever they want, and you have no right to defy them even if they decide to do it purely on a whim.

Note that it's irrelevant for my point that you can get tickets and charges suppressed later if you somehow manage to convince the judge that you were pulled over without reasonable suspicion. I'm focusing purely on the interaction between you and the cop on the spot.