I'm still undecided what a prudent person should do - get on the next plane back to own doctors or continue the vacation?
It depends on the extent of your injury and where you live. Sometimes you have no choice - it needs to be done and done immediately.
That factored into my decision of whether to have my arm surgery in Mexico or Canada. Surgeons here are reluctant on taking on post-op care of patients who have had their surgery elsewhere. Understandably they only want to be responsible for their own work. And my injury would require considerable post-op work. So I decided to get pumped up on morphine and make the trip back to Canada so I could be assured of regular - and "free" - surgeon follow-up. Yesterday had my umpteenth post surgery visit and he's said he doesn't want to see me for a few more months as healing and physio is producing anticipated (but very, very slow) results.
But here's what I was told by others in Cozumel while trying to reach my decision about where to have my surgery: due to small population in Coz, people seek complicated surgeries on the mainland in order to access surgeons who do these surgeries more frequently and therefore are more up to speed on latest technologies and/or have knowledge that comes with experience. My emergency care was exemplary as was my time in hospital in Cozumel. But, as with any complicated surgery - which mine was - I'd want to know how many times the surgeon had done the operation and what their success rate was. I suspect it was low in Cozumel given how rare elbow replacemnts are as a procedure. But for garden-variety medical issue, or one that was very diving related, I'd trust it to local medical staff.
So in summary, it's not a simple B&W answer.