I’ve bought a number of used cars. Few sellers have the patience to wait for you to coordinate an inspection unless. Some don’t even wait on you to test drive other vehicles first.
Fair point. I agree that many sellers are looking to make a quick sale without much additional hassle. I wouldn't buy a private party car without an inspection and I know that will cause me to lose out on some (good) opportunities. However, it's much more important to me to avoid type 1 error vs type 2. Of course, if you need a car quickly, this can be a problem. But my strong advice is not to be in a position where you urgently need a car in the first place (generally good advice for any negotiation actually). I admit that it's easier said than done in some situations but it's still a good principle.