No - I used to be a nurse - though that is totally different.
But - I can't see why they would care what you or any single individual weighs. What they do care about is not looking bad.
If they have seen you with weight as part of an issue in the past there will be a flag on your notes, just as there would be (or should be) for many other issues.
If an issue is flagged up and they have ignored it and then it becomes part of a health problem, then they have failed. If they follow it up and you decline then it is no longer their problem.
Obviously I can't guarantee every surgery works the same. Many won't even bother recontacting you but if they do, you have every right to respond that it it not an issue for you. They have no right to override that.
They can invite you for vaccination, smear, breast check or any other health check. They have no right to demand you take up their invitation - unless medication is involved - as in, if I refuse thyroid checks they can stop my thyroid medication.