Would it be okay if teachers were not paid if schools closed
If schools closed, teachers and staff could be furloughed, like just about everyone else. Why not?
But if that's what you want, you will need to accept that there will be no setting of work, no online live lessons, no recorded lessons and no marking, no in-school provision for key worker children, no in-school provision for vulnerable children, no running around with food vouchers, no calling children to check on them. So a complete shut down of education for ALL children. Personally, I would accept that, because financially I could manage (even without furlough), but I can't speak for my colleagues. This would be preferable to death, long-covid, constant sending people home and juggling lessons in school and online at the same time and managing the stress of some children which is getting worse.
More importantly - and I think this is key - it would be more acceptable than the exodus of school staff which was happening before covid and which is most certainly happening right now. Simply put, there are school staff who would rather risk unemployment, loss of their homes etc. than continue with this shit show. Sure, plenty of people will sign up for teacher training as a result of mass unemployment but then your schools will be staffed by inexperienced staff almost in full (and they're not that far off that now). How the next few months are handled - or mishandled - has massive implications for the immediate future of education in this country. That is something every parent should be concerned about.
Blended learning for secondary schools for the majority (not all) children would be an acceptable alternative. It would help keep the R rate down, keep school staff largely free of covid and provide a seamless education for all rather than this chippy, choppy situation we have now. But fuck me, no one is actually listening to those who work in schools let alone letting the actual data inform what should happen.