i think it is because the starter is going to play on fairly fresh at times in a normal flow, especially against press and stuff. a fresh starter will always play, outside foul trouble (and end game situations). those times where the starter and backup are both fairly fresh, you are instructing the engine to play the backup, which is pretty viable. i actually use getting tired on backups more than starters, partly for such situations. there's a healthy variety of scenarios where i'll play a guy on getting tired really.
the other thing is that it could also help the backup take more minutes from the down-chart guy. in a straight 10 man rotation, this is an issue much less, but in any other scenario that is pretty meaningful too. and even in straight 10 man rotations, there's often a down-chart guy who would play non-0 minutes against a fb/fcp at least, or something like that. so it can still be a factor, albeit a small one, on those even 10 man rotations. and also whenever the starter is in foul trouble, you'll get extra minutes from that, too.
that's all assuming you are comparing a backup on fairly fresh to tired. getting tired should get you the large majority of the extra minutes that tired would get you, without the potential disaster that will occur with a tired backup who has a foul trouble starter in front of him. that's really the 1 scenario of the 3 above where getting tired and tired on a backup will yield significantly different minutes, but its usually in a bad way.