As has been said... Semi auto's are only permitted in .22 rimfire chamberings, in the UK.
So that covers the lr, wmr, cb caps, longs etc
Making a more powerful rimfire runs into the need for the rim to be soft enough for it to act as a primer vs chamber pressure etc.
If someone were to do that, then either a ban on a specific item would follow, as they did with lever release or a tigntening of the definitions to permit only 22lr. That is something that was covered in the recent consultation to do with miniature rifle range exemptions. Where the act currently defines them as being less than .23 calibre.
Though given the general direction things tend to go, they will make any ban as wide as they can manage. So a full ban on semi auto's, and any fast actions, such as unberlevers, pumps etc. And whilst they are at it, let the ban roll over to shotguns as well.