> because if you're employed there is additionnal and mandatory healthcare
Yes, if you are employed in the private sector there is now mandatory additional private health insurance to cover what public healthcare does not.
Healthcare isn't free at the point of use in any case. Things may be automatically paid/reimbursed as the case may be. Private sector is much more involved than in the UK, too, starting from GPs who are all private practices.
The point is that it's not because you have to pay at point of use or because things are more private that you end up like in the US. This is an FUD argument against change.
https://www.kingsfund.org.uk/insight-and-analysis/long-reads...
That's quite different from a private practice (like a solicitor here) that you pay directly and/or that seeks payment from health insurance.