I know UK is ok with surveillance in public places because there is no expectation of privacy in public spaces. But are they really tolerant of surveillance in non-public places?

No, not at all. The surveillance state nonsense is overplayed online.

Brit here. Yes because the average Brit is insufficiently educated to understand the harm. They are very easily swayed by "think of the children" or saving just one life. They consume huge amounts of propaganda with little to zero critical thinking