The problem I have with his usage is more who he's with than how much he's playing.
He's clearly far from 100% (as far as physical performance goes, not as if he has an increased risk of re-injury), so I'm not expecting him to get 20 minutes per night.
HOWEVER if you want to get the most you can out of him, why the hell would you give him at least one horrible linemate at all times this year? Weise is sure as hell making a difficult situation even worse.
Patrick was Konecny for a bit (who is extremely skilled and SEVERELY under-used) but he isn't a good fit with Patrick right now because they both need the same thing at this point in their careers: a good possession linemate to take the pressure off of them... like Voracek. Meanwhile, Voracek is wasted playing on a line with Filppula, who appears to have no brain, and Raffl, who is merely a player who can tag along with better guys without slowing them down.
So Patrick is both getting scrap time and scrap linemates, on top of not being in peak physical condition... it's no mystery why he isn't performing right now.