One of the reasons that the governor of Oregon might not have ever experienced a health care wait is because he is of significant wealth/employment class to have never been without good health insurance accepted by all the doctors of his choice/in his area, so it was never an issue with him. The people with no insurance/shitty insurance experienced something very different.
Until about 3 years before Obamacare, my family was paying $1000/mo for shitty ass $5000 deductable catastrophic care only "health insurance". Then we joined an extremely expensive HMO but at least preventative stuff was covered. So I spent the first decade of my children's lives being given That Look in the doctor's office that would have denied us care until I said the magic words of "how much is your cash discount if I pay you in full today?" The vast majority of people who are not on good insurance plans do not have the means to do that. And doctors were not required to accept medicaid (the indigent person medical plan).
Wonder what the wait time was for a family who did not qualify for medicaid/find a provider for it who didn't have $300 to drop per visit for a pediatric visit + immunizations + medication? Would they have bothered to try to get in at all? That is why there wasn't really a wait there, as say there was when I was growing up in the military (socialized medicine that all could access, so yes, more demand, and there was indeed triage in a way that regular care visits elsewhere didn't need) because you'd already cleared a bunch of hurdles even being able to know you could call to make an appointment in the first place.
In any place perfect, no. But it is pretty icky that the reason why there was so little of that in some tiers of the medical system the US is because so many people were /denied any kind of access/ period. Look at public health/indigent clinics though and the story is way different.