He was made out to be absolutely ridiculous in the Bruins ECF series, his lack of foot speed is quite evident and the Bruins really pounced on him. If you want to look into further statistics, Douglas Murray has had declining shot differential rates on a year-to-year basis, which can be made primarily due to Dan Boyle's declining play (his former defense partner) and his own footspeed. I guess, yeah he is a beast, he is probably the most physically fit player in the league. I read that he had a ridiculous body fat% and can lift some big weights, but that doesn't make him a better hockey player. So I guess in the role you suggest (10-12 mins), he can be adequate if he is paired up with a decent puckmover (Diaz?) on the bottom pairing. I think Montreal do have a lot of better defenders when healthy (Subban, Markov, Gorges, Emelin, Diaz, Tinordi, Bouillon Belieau).
As much as I hate to say it, the Habs should be fine going into next season, probably challenging Boston for the division title along with the Sens and Wings. But Price does need to up his game. I've never seen a goalie with a 905 sv% get as hyped up as him.