It's not Bozak's fault that the coach used him more than almost any other NHL forward.
Use him on the third line, and he'll make everyone happy. No, he's not an amazing defensive forward (though his FO are good, obviously), but, net net, he's a pretty strong possession player. He's probably a 40 point forward in that role, and will end up with a much higher +/- because his opposition will be inferior.
Assuming he can put up about 2 points per 60 minutes, which is above last season, but well below the 2013-14 value of 2.42:
(15min ATOI/60) * 2 p/60 * 82 gp = 41 points
This is assuming that Babcock runs 3 scoring lines.
Combined with his faceoff prowess, I can't imagine why anyone would complain about Bozak there. Sure, complain that a 3rd liner is your 1st line C -- but when he's not, Bozak no longer looks like your problem.