I believe there has been some advertising which is what kicked off the shit storm, also comments from (checks!) Republican Senator Chuck Grassley of Iowa and some stuff that said the elderly and the likes of Stephen Hawking are/would be 'allowed to die' under the NHS which is a lie. Hawking himself has been involved and... oh, on and on it goes.

pay a co-pay as well?
I don't even know what that means. :o)
The NHS is paid for entirely out of income tax, no insurance necessary, unless you elect to get private health insurance, which you are free to do if you so choose.