This is highly unlikely. These companies need the income. The last thing they'd want to do is add on further restrictions to their struggling industries.
Yeah, but they might not need the income from the few who cannot get vaccination for medical and not mental reasons. And rather focus on the paying majority.
Which would be somewhat discriminating against those people. But if the vaccination works as promised (95%), it should allow some nonvaccinated people without problems?
It's important to note that the 95% refers to the reduction of mild COVID-19. There is very little data on how well the vaccines actually prevent the spread of illness - often called sterilizing immunity(1) - most of the trials simply weren't doing the extensive PCR testing required to measure that.
There's a good chance they do in fact reduce the spread of COVID-19 too in a significant way, as many vaccines achieve that. But some don't.
The second issue, is that we don't have enough data yet to know if the vaccines prevent severe COVID-19, let alone deaths, in the people most at risk. That at least we'll probably find out soon from the UK.