> there are many people who would prefer that healthcare is run by a private industry,
The grammar is a little ambiguous around this, but you seem to be claiming that this is a majority position. It isn't. Single payer polls over 50% basically every time it's tested (the exception being some spun partisan reframings you occasionally see pushed), and has for decades.
I did not intend to imply it’s a majority, just that it’s not some ignorably-small minority