At the expected price point it would be nice if it came with a free pied-à-terre in Kensington (https://en.wikipedia.org/wiki/Kensington). Just a small studio apartment, nothing special.

You'd need to spent ~£500K+ to get a studio in Kensington these days that isn't a shoebox.

One listing is 410K for 280 sq/ft coming out at £1464 per square foot, almost exactly 10x the price per sq/ft we paid for our house a few years ago.

So $100K would be £74K which would get you ~50 sq/ft.