I am quite happy for them to use the month vaccinating teachers and then reopen schools again. Most of the over 70s and vulnerable groups will be vaccinated by then, so we should see an improvement on hospital admissions
ICUs are (apparently, I haven't been in one myself just hearing from friends and family) filled with men in their 50s and 60s.
As a very vague guesstimate, I would suggest that more than half of teachers are under 40, with a bias towards women.
As a woman in my 30s with no Covid vulnerabilities, I would be so upset and angry if things got changed around to offer me a vaccine before my morbidly obese 65 year old Mum can get one. We have got to support all the vulnerable before the rest of us. The chances of it being anything more than a nasty inconvenience for youngish, healthy people are so low.