My company used to be one of the country’s largest providers of those sorts of services, and I worked in the IT group that supported that business unit, and I haven’t ever heard of there being mandatory doctor visits based on the rinky-dink physicals that we used to do all the time.
Typically, the wellness screenings don’t actually translate into mandated doctor visits, but they often do translate into discounts if your numbers are below some threshold. So if you had BP under say… 120/80, you got $20 per month off your premiums. If it was under 130/90, you got $10 off per month, and you paid full freight for anything above that. There are usually a small set of tests that worked for this, and some automatic crash landings- if you were too fat, or you smoked, you didn’t qualify for full discounts, no matter what your numbers were.
They also do questionnaires and based on the results of those, may try and coerce you into doing ‘health coaching’ which is basically having to meet with some chump who is called a “health coach” or something like that, and they basically tell you what you already know- to eat healthier, don’t smoke, don’t drink so much, and exercise more.
Of course, they’ll suggest that you go see a doctor if your numbers are in certain ranges- for example, my company had 4 ranges, IIRC for BP- there was the “Awesome!” range, which was 120/80 or below, the “OK, but you should see a doctor”, which was like 121/81 to like 135/90, the “You REALLY need to see a doctor” range, which was higher than 135/90, and the “HOLY SHIT! Your brain is about to burst” range, which was something absurd and life threatening, and IIRC, they usually offered to call an ambulance for those people.