I think free movement of people doesn’t imply Schengen Zone style borders - I thought this was mostly an economic lever that people can move and work in another country by default, not a human right where a country cannot exclude chosen people (known criminals, etc) and track all crossings. I think of it as another country giving me a visa is opt-out for that country, not opt-in.

The CE rules are relatively sane and followed commonly right? At least I see a lot of CE-stamped goods in Australia… so I always assumed that was the case.