@ATNotts
Even with your EHIC card, you may be risking more than you think.
In France there are doctors/dentists/hospitals in the public system ( agree - needs 2 e acutes ) and ones that are not ( prives). The difference is not generally marked externally and you have to ask, but if you go to a prive you will get nothing refunded .
i believe the same situation exists in other countries too.