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Good question, there's so many factors involved it would be hard to calculate for an individual choice. It would probably depend on the kind of treatment, your regional health board, waiting lists for that treatment, etc..
My own approach is to make my personal choices somewhat separately from my politically active life. In an ideal world it would all align perfectly, but that's not the case.
I have private healthcare through my employer, but am a former NHS worker myself. I am passionate about good public healthcare, campaign for certain issues. The one that irritates me most is the issue of training and research funding; all the hard work really is done with public money. Privatisation happens at the end when valuable commodities start appearing, whether they're health workers or drugs.