Through June, Inge played in 58 of 71 games. However, he only pinch ran or pinch hit then caught (as part of a double switch or as a defensive replacement) in 14 of those games. That brings his seemingly lead catcher duties down to 44 of 71. That 3 out of 5 and would be categorized as a catcher receiving more time than Mesoraco; however, he also either left early and came on late in another 17 games, cutting his catching chores to the point where he was comparable to Mesoraco.
Inge, like Mesoraco, had sporadic playing time. The difference is that Inge's playing time was sporadic within the game (he might play the entire 9, he might be pulled, he might be asked to pinch run, he might be asked to play the last half or few innings of a game). (And I'd argue that pulling a kid in the middle of a game would do more harm to his psyche as a hitter than holding him out entirely.)