It's easier to see your own society's faults. The NHS also has waste, most obviously the deadweight loss caused by queuing. I know someone who went back to get treated to her own country. Not remarkable except that country was Ukraine.
Neither the US, UK or France are my own society.
I lived in the UK for a few years on and off. I agree that rationing by queuing is less efficient than rationing by money. Singapore does a much better job: they always have a co-payment (even if that's often that just for symbolic/ideologic reasons, and less so for rationing).
By the way, how is that the republican playbook? What does any of this have to do with the desire to remove King Charles as the head of government? https://en.wikipedia.org/wiki/Republicanism_in_the_United_Ki...