Re the question of 'was it staged?' At the end of the day, you can only get caught like this if you want to. A woman can dance naked on your desk and, if you don't respond, you won't get caught. Don't forget this wasn't some random aide. This was a woman who he was friends with during university. If she set him up, she was aware he could be set up.
Personally I think this has been going on for a while and more will come out. The 'please give my family some privacy' plea is pathetic. If he cared about his wife and kids, he wouldn't have done it.
And, set up or not (not from my point of view), the questions still remain. He is being advised by someone he may have been having an affair with, whose family include someone who works for a company that won NHS contracts. His inability to keep it in his trousers and her bad taste in men are for their families to work out but there's potential fraud here and that needs to be looked into.
I hope, if he keeps his job, he doesn't do any more patronising 'you must do this'. After pulling apart Cummings and Ferguson he needs to look in the mirror before he does the next press conference about Covid restrictions.