If Byron's presence led to a slightly higher team-wide offensive output than when he wasn't playing, the difference is even more tangible on the defensive side of things: the Habs allowed 61% of their goals against with him in the lineup and 39% when he was sidelined. Of course, in a team sport one player most likely wouldn't be the sole factor behind a shift in offensive and defensive effectiveness, but it's worth noting nonetheless that, proportionally speaking, the Habs were much more defensively sound with him than without him, and slightly more offensively too.
Given what we know about Byron's versatility, it's not a stretch to suggest a correlation there. The argument becomes meatier when you throw in the fact that Byron's per-game average of 1:23 of shorthanded action was third among the team's wingers (who we'll rank separately from all forwards given that they're being deployed for their defensive game and not their ability to win faceoffs as a center would).