Every member of Canada's team played 200ft of puck possession hockey including aggressive forecheck and backcheck and team defense by the forwards. I suspect that any forward or defender not playing within the system and game plan would not have played; the players adapted to the system and not vice versa.
Obviously Ovechkin's scoring skills are unquestionably elite, and Canada wasn't scoring a lot. However, in a short term tournament, I don't think Ovechkin could have adapted to Team Canada's 200 ft responsible, puck possession systems and game plan. Not because he was unwilling, Ovechkin would have tried pretty much anything to play well in his home country. And not because he can't, Ovechkin increasingly has been asked to use a limited set of skills none of which are applicable to Babcock's plan. However, earlier in his career Ovechkin did more with puck possession, backchecking, and aggressive play suggesting that given enough time he could have adapted.
Out of Team Canada, Ovechkin probably most closely parallels Tavares. In that, even though their offensive talents differ, they are both offensively talented players who are not asked and do not contribute significantly on the defensive end in the NHL. Ovechkin would have been on Team Canada but likely would have seen limited ice time.
EDIT: Team Canada's power play was largely an afterthought. In addition, Canada had the fourth fewest power plays and was in the middle of power play conversion. If they wanted a power play specialist, why was PK Subban still sitting in the press box?