It'll be interesting to see if the much maligned suburbs get a further boost - for the past decade (or more) people have typically wanted to forgo space, and a lot of cash, to live in inner-city areas with lots to do, easier to get around etc.
Recently there has seen a bit of an about turn on that, in London at least - with the outer zones becoming more desirable due to increased space for money, more green space, but still easy to get into central London and more amenities locally in areas that previously had been mostly residential (driven by creative people / small business owners forced more towards the edges due to the price of inner London rents).
With lockdown forcing people to really consider their connection to their local area, I can see, rather than a severe correction, that house prices level out more across London - where inner London stagnates a bit and outer London has steady (but perhaps not spectacular) growth. This had already started with Brexit etc but I think the lifestyle adjustment with Covid could make this a more permanent thing - it is the middle option for people ready for more space but don't want to jack in the towel and move out of London altogether. It would mean that working from home, plus working "in town" a couple of days a week, would be an easy balance. Being in zone 4/5/6 would still mean being on the relatively cheaper TfL network (not £££ for transport from commuter towns or further afar) and an easy commute.
But they are so many variables - including a potential growth from people moving here from Hong Kong who may increase the demand overall. Balanced by the fact it may become harder for people to access a mortgage given the wider economic picture. It is such a mixed picture at the moment.