Sure, those could give you useful info on specific defensive skills, but they're more specialized than overall D, so they're not as informative about overall contributions.
More importantly, though, how would you confirm that these are especially valuable skills, if not by correlating them with the team's overall performance?
That's true. You have to factor that into the role you'd like for any player, and how the other team could possibly try to expose him. These stats also don't remove who you're playing with from the equation, but they at least show what the other team was attempting to do to score on you and what happened. I just don't see how the team defensive rating when a player is on the floor tells you anything.
Well, there are only 4 other players out there with a guy, and they tend to vary a bit, so it can be informative, especially when contrasted with off-court performance. It's difficult for a truly bad defensive player to consistently put up good DRatings, or vice versa. It's flawed though, for sure. But looking at things like opponent FG% and specific situations like you mentioned can help isolate the one player's impact. It's basically impossible to completely identify one player's impact, though.
There are actually very similar issues for individual offensive performance, but they don't seem to get the same criticisms since we have more counting stats on that end.
By the way, I think the main reason Olynyk looks so good in these on/off stats is that he plays 17 MPG and most teams in the nba just don't have a 4th big. He gets to completely ignore the crappy bigs he's tasked with defending, and if someone does kill him Stevens just benches him and puts one of his other bigs back out there.
This I completely agree with - he's a much better defender than in the past, but the rating #s are being inflated by not matching up as much with starters. I think he's the only one of our bigs that hasn't started yet. His numbers would almost certainly drop a bit if he was playing more against first units, but I still think he'd be a plus defender overall, unless a stronger big just kept abusing him in the post. Though in that case he'd probably get in foul trouble before giving up too many points.