You literally just described American healthcare. I don't know where people get this idea that you don't have to wait to see a doctor here. I've had to book doctors appointments months out. And specialists can be 6+ months of waiting.

I think the Americans that say otherwise actually don't try to go to the doctor on a regular basis. And if you press them on why, they'll admit it is a fucking hassle and worried about the bill if they need to actually get something done.