That isn't the argument I made. Processed food industries actively block healthcare reforms because they fear being regulated for the now obvious public good.
Perhaps. But I don't think that's the public consensus. So it's hard to accept such arguments without any evidence.
AFAIK in Europe most food safety regulation is coming from the EU directly and not the national governments. Also it's not like all countries in Europe have public tax funded healthcare systems.
Fundamentally some are inherently not that different from the one in the US (i.e. semi-private or even entirely privatized) it's just that they much better regulated and much more efficient.
Even if we exclude private spending the US government already spends more per capita on healthcare than most other countries so why would anything change if e.g. Medicare was extended to a higher proportion of the population?