I've been in contact with my "usual" London hotel, The Lime Tree, regarding reservations for next year. They closed in Dec for a reno, of course were hit with the virus closures and now are reopening next week on 20 August. The manager indicates they (unfortunately) don't have many bookings at this time but will open any way.
The pictures on their website of the reno look lovely and I think their small cafe called The Buttery is open to the public instead of just being a breakfast room for the hotel.
Just throwing this out in case the information is useful to anyone. No connection to them other than having stayed there a number of times in the past and feeling bad about all the smaller establishments right now.