I think the government will do anything and everything they can to avoid another national lockdown, so no, I don't think schools will close again.
Even in the areas with local lockdowns (Bolton, Oldham, etc), those schools have gone back.
I would expect that schools with outbreaks might be temporarily closed, if the outbreak affects more than one year-group bubble, but I'd expect it to be for two weeks or so only.
It has been such a job to get schools back that I don't think there will be another closure like this year, particularly if hospitals continue to be empty of Covid cases and deaths remain low. After all, the lockdown wasn't to prevent the spread last time, it was to protect the NHS. If the NHS is coping fine then there is no reason to close schools.