Let me get this straight. You'd rather play a guy with 4th line offensive abilities 15 minutes per game and $1.7M to play a role that is easily replaceable in free agency every year - that is playing the PK and being decent on face offs? I mean just look at the faceoff leaders there are plenty of 4th line type players that are great on them - Gaustad (WAY overpaid), beagle, boyd gordon, smithson, belanger, handzus. It's a skill that you can easily get a player with - it's really not that big of a deal.
Penalty killing and faceoffs (less so than PK) are replaceable skillsets unlike offense which is much more expensive and harder to replace.
And no, it has nothing to do with him being trusted in late games. It has to do with him being put on lines that are supposed to generate offense - recently with clowe and brassard, previously occasionally with gaborik, callahan etc...recently extremely often on the powerplay.