I agree with your sentiment.
I was a student in London (Imperial College) from 1993 to 1996 and had the good fortune to live in halls of residence on Exhibition Road in South Kensington. I could see the Natural History Museum, Science Museum and V & A from my bedroom window and my degree award ceremony was held in the Albert Hall.
It felt like the centre of the world to a backward Cumbrian and I would walk around the famous sights for hours every weekend. You could almost feel the history. Lots going on at that time too, great live music most nights (the height of Britpop - not all good), the fag end of the IRA bombing campaign, Euro 96 and Prince opening a purple based clothing shop in Camden!
I still get a buzz and very sentimental whenever I visit, but the thought of working there never appealed.