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Obviously it's the most extreme eg but try paying out US levels of "private" health insurance for an average level of service, then come back and complain.
The extra waiting time for a GP appointment is eaten up by the lobby waiting times, arguing, double checking your bill and cross referencing everything with your insurances hit and miss overseas call centre.
Edit: lolz at $2,000 p/a - can't imagine what sort of 3rd world policy that buys.
I don’t think you understand what efficiency is and if I understand you correctly you solved the problem by throwing money at it (equivalent wage of £1020/hr) and hiring another doctor.