Nope, December was pretty free and easy (comparatively speaking) and Christmas Day was not a lockdown. Boxing Day was (sort of) but I know plenty of people breached that and travelled home after Boxing Day.
Source: am British also (and stayed home and saw no one at all over Christmas and new year, just sayin)
I am British and living in London. From the article:
"London saw wild scenes of a weekend mass exodus before the start of a Christmas lockdown and travel ban sparked by a new, more infectious mutation of COVID-19."