If you like it, and can afford it, then go for it. I don't like it personally, for many reasons, some already listed, but that doesn't matter as I'm not buying it!
For that price in my area (North Mids/Cheshire border,) you could get a 6 bedroom, 3 storey detached house, with a cellar, outbuildings (like stables) and 5-10 acres of land, so I would never spend £1.2 million on a 3 bed terraced house in the middle of London. It looks like a VERY busy, highly populated area. Practically in the middle of the shops. Fine for childfree young people I think, but I can't imagine living there with children, or if I was over 40 myself. I prefer a quieter area.
IMO, there is too much traffic, too many people, too much pollution. Couldn't think of anything worse. I lived in London for a few years in the late 1980s/early 1990s, and loved it then (as a young, single, childfree 20-something.) Wouldn't be for me now. It's a different place now to what it was pre 1990s too.
But if you like it, then go for it. You don't need anyone's approval, surely?