He's being paid $1.25 million to be the backup, whether he plays 40 games or 0. He's not getting "his games" taken away.
As far as trade value: he's 37, with a career 7-8 playoff record that's almost all from 2 different postseasons, the last being 3 years ago when he came in during the 2nd round to help spell Varlamov and didn't play after Game 1 of the semis when Tampa shelled both him and Varlamov for 8 goals. No contender is trading for him to be a backup with the idea that if something goes wrong, he can step in and be their backstop as part of a Cup run, and no one else is trading for him to get through the regular season, including Ottawa.