There are many GPS traces available in London. Unfortunately many of them only as unordered points but some intersections have a pretty good coverage of lines (e.g. at Piccadilly Circus).
I used these traces to check the offset of Esri "Esri World Imagery (which (Clarity) Beta" - which is perfectly aligned) aligned (instead of ""Esri World Imagery"!) - and then compared it with OS OpenData Streetview. Both imageries match.
So I guess moving building outlines in London according to this imagery is fine. If the offset is large enough, of course. Otherwise just don't bother. However since this sounds like a larger bigger task you should discuss it with the local community first.