There’s no way it will be just January, even if the vaccination goes well. My fear is this will now turn into lockdown-type restrictions for likely the full duration of what would be the spring school term.
I think the duration of all the lockdowns in the UK will depend entirely on the figures, and no-one can predict what they will be like in one months time, let alone two or three months.
As some people have commented, it is a race between the virus and the vaccine, and whether restrictions are eased or maintained depends on who is in front in the race at any given time.
I see that Devi Sridhar was on the news this evening peddling the same old line that, had it not been for imported COVID cases from England, Scotland would have been able to eliminate the virus by the late summer/early autumn.
She really just says whatever Nicola Sturgeon wants her to say.