London and other metropolitan areas still have a lot of low income housing in very high value areas, there are current/former council houses in Westminster and Kensington and Chelsea for example that sit on land worth billions.
LVT in the UK would likely just increase cost of ownership for leaseholders which would make flats in cities even more expensive (and since many newly developed terraced, detached and townhouses also come as leasehold these days even buying a house won’t help) and just push for further gentrification as housing like this https://en.m.wikipedia.org/wiki/Hallfield_Estate would become economically non-viable.