To counter this: you shouldn't sacrifice your own enjoyment for the enjoyment of your players. GMing isn't supposed to be all work no play, and if it is, then you're doing something wrong. Play and and run what's fun for you as well.
I think it's definitely worth adding something to that effect when making that statement. It's easy for people to forget that 'players' includes the GM. Changing it to 'everyone at the table' could work too.