Countries that do make them free still have some sort of rationing mechanism that prevents primary care practitioners from being overwhelmed. In the UK, for example, appointment requests are triaged based on urgency and non-urgent appointments will often have to wait a while. In Canada, it's somewhat quicker to get appointments with your provider but much harder to find a provider if you don't already have one.
More generally, the goal of a functional healthcare system is to make sure everyone gets the care they need to achieve good health outcomes, not to ensure that everyone can have as much of a doctor's time as they'd like.
Which the US system fails at, miserably
The reliable polls I've seen (https://news.gallup.com/poll/654044/view-healthcare-quality-...) tell a very different story. Most Americans understand that the healthcare system has big problems, but the vast majority think that the care they personally receive is good, although there's been a slight downtrend since 2020. So it's hard for any reform proposal to gain traction without reassuring that majority that the healthcare they enjoy won't go away.
Which is actually the problem.
Americans have been propagandised for so many decades they are not well educated enough to have a clear understanding of where their country lags behind developed countries.
Exactly as the stat says