Those studies have all, to my knowledge of them, shown no system mode that is better or worse than any other. The USA for many categories of care has often in those studies had worse wait times compared to nations with fully nationalized healthcare.

Heck when I went to college in Ohio's capital, the recommendation on how to get psychiatry or therapy as a new patient was to call the suicide helpline and claim that you were suicidal. That would get you a new patient appointment within 72 hours versus over 3 months on average for patients looking to get into care through normal channels.

Interesting you weren't able to find any examples. Here are some quick ones for CT scans in US Canada and UK.

The US maintains the highest hardware capacity of the three nations with roughly 43 scanners per million people and performs around 245 to 290 scans per 1,000 residents per year. non-emergency wait times are 1 to 7 days. The UK has 10 scanners per million people and ~100 scans per 1,000 residents, using centralized triage to keep non-emergency wait times between 1 and 6 weeks for NHS targets. Canada does 160 scans per 1,000 residents and 14 to 15 scanners per million, with wait times of 5 to 9 weeks.

When you consider that the US population is not fully covered by insurance, the number of scans is even higher