I agree with posters on here who have mentioned putting aside money for treatment.
We had friends in the UK who had policies with BUPA. One day they mentioned that, between them and over a number of years, they had paid out over £28,000 in premiums and had never needed to claim. OK., who actually wants to be ill? But, unlike for example car insurance where eventually you build up a No Claims Bonus, there was no way that any aspect of the moneys paid had benefitted them. They said that they should have put aside the money into a fund, making a decision on when to use it, and it wouldn't have been money wasted.
Our GP said the same thing. Put aside a sum each month of the year that could be used in any kind of medical emergency, for a consultation or treatment as the need arose. "Giving" to an insurance company and always hoping that you wouldn't need to make a claim never seemed to make a lot of sense to us. Then there is always the dreaded small print. There's always something, some reason, some occasion when they aren't able to pay out or reluctant to pay the full sum, so that often when you think you're safely insured - you're not!
Taking back some control by saving regularly towards your own medical costs is a much better feeling, I believe, and of course it's always going to be there should you need it.