I’m still quite wedded to schools playing a large role in spreading/seeding wider infections. The graphs out there just match term/half term times to closely to my (completely amateur) eye. I know correlation doesn’t equal causation but it’s hard to step back from that when it’s seemingly predictable.
I can only guess that you're confused about when term times are?
This year started 5th Jan with school holidays 12th-20th Feb, 2nd-18th April, 28th May-6th June, and since around 21st July. Look at the dates of peaks roughly 21st March and 4th July, then troughs with lowest points 25th Feb and 22nd May.
You might be able to argue that 25th Feb could have started due to infections returning from half term holiday (not school, holiday), but that's travel as "seed" and the spread burned out during the school term. 22nd May rise started the week before half term, half term made no difference at all to it increasing and again it burned out again before the holidays.
We're 2.5 years in now, it would be nice to look at the actual data. Schools are not solely responsible for the spread of covid, and aren't even a major factor in recent spread, Kent version was the only one with a major impact from secondary school spread. In contrast, adult travel has seeded several peaks including the first. If there are infections in the community, then there will be infections via schools too. Schools still could be a factor again if there's a mutated version, but it's more effective to use data than unwarranted assumptions and the data right now says you're wrong.