This subject came up in CHIRP a short while ago - be worth checking. Same sort of thing - pressure being put on pilots to turn up ahead of report time, even with minimum rest, and pilots not happy with it. I think the final CAA response was that if the standard reporting time is regularly not long enough then it should be changed.
When you are doing a number of long duties on little more than min rest I do feel I should spend those extra minutes at home rather than at work.
However, I do get my a*se in gear when I get to the aircraft and we're always ready to go way before the cabin is.