Here are a
few links on Marincin's statistical results.
Most of them acknowledge what Marincin is good and bad at. It's extremely difficult to get around him at the blue line because he covers so much space. Furthermore, that's exactly the kind of skill that's likely to drive shot-attempt metric results - The Hockey News has a primer on that
here.
While I can't prove a negative, I'm not sure that there are any effective statistical models that can prove how detrimental "whoops" moments are, right around your own net, and man, does Marincin ever serve up some doozies. I'd understand why the coaching and management of the Leafs don't want to tolerate that kind of play from Marincin on their roster, zone entries be damned.
Anyway, the lesson I get from this is that no stat is going to measure anything as big and amorphous as "defense", but it can give you indicators as to specific areas where a player is or isn't effective - especially if you have some eye-test familiarity to back it up.