Yes, but that's a company that recognises the difference.
I had one contract with someone who thought it entirely appropriate to call me on Saturdays and Sundays to discuss the coming week's work. Strangely, he was upset that my next bill showed that as recorded overtime (the joy of iPhone call records in CSV format is that it provides nice evidence :) ).
I have absolutely no problems with an emergency, that's simply life, but someone taking the mick is not going to do that for long. I still work to live, not the other way around.