The populist blogs question if it’s a vaccine. That has no bearing in court or in reality. That’s just bullshit being spread.The USA does have the power to mandate vaccines, the UK does not. There is an issue whether advance medication is technically a vaccine though, since it doesn't prevent infection or transmission. The USA does not have the power to mandate medication.
On the issue of draining health services, obesity is by far the biggest drain, alcohol the second biggest. In fact everyone who gets ill is a drain. Perhaps it would be economically advisable to just let ill people die, but that's hardly humane. To argue that other people should be allowed to die, so that you can get treatment is a little off.