I think the pilot scheme is real and is a valid thing to do, but if Johnson was a proper leader he would have self isolated straight away which would have made the population think "we're all in this together" instead of "one rule for them, one rule for us".
10 days in Chequers or Number 11 or where ever they are would be no hardship. He could even have appeared on TV today to say something along the lines of how now that things are open, the virus is still around, and look, even the PM had to take care and self isolate when necessary.