I’ve used emergency care in the US and U.K. waiting in the U.K. was half an hour, in the US was 4 hours. The U.K. was of course free, the US was $2k

Same problem, same prescription.

I don't think your portrayal captures the reality of this well. Again, generalizing about numbers when it's such a hot political issue is difficult, and it's super-easy to cherry-pick, but take three NHS trusts in the South East, which for non-Brits is the rich part of the country -- I've chosen these three because I'm somewhat familiar with the hospitals themselves, and they're all big enough to have multiple specialties. I suspect if anything they understate rather than overstate the problem.

0: https://www.myplannedcare.nhs.uk/seast/royal-surrey/

1: https://www.myplannedcare.nhs.uk/seast/oxford/

2: https://www.myplannedcare.nhs.uk/seast/buckinghamshire/

For each specialty, there's a waiting time, which is the time between you seeing your local doctor and then seeing a specialist, and then there's a waiting time given from when the specialist refers you for a treatment -- they need to be added together. Cardiology is 17+21 weeks, 10+12 weeks, and 25+28 weeks, urology is 12+18 weeks, 18+23 weeks, and 25+20 weeks. Orthopedics (for your osteoarthritis example) is at 17+24 weeks, 22+46 weeks, and 20+25 weeks.

> not indicative of waiting for urgent emergency life threatening

Hospitals in the US can't turn you away if you show up presenting urgent, emergency, life-threatening symptoms either, and I suspect those are not the types of medical care that people in the US are generally putting off for cost reasons (although I'm sure there are a few cases where they are).

> I don't think your portrayal captures the reality of this well.

"My" portrayal is a summary of the information in the links that you provided.