It wouldn't be the plywood panel that moves, it would be the rails and stiles. The wider they are, the more they may move. Depending on the style of the rail and stile grooves, how deep and how thin, the movement could split the rails or stiles along the groove. Shaker type doors often have wider frames, but you didn't give any dimensions or species. If the rails and stiles are wider than 2", I wouldn't take the chance by gluing the panels. In my climate, there are wide swings in humidity, in a desert, maybe there isn't much to worry about. Usually there is enough to worry about when gluing up doors, keeping them square, flat and not getting glue all over the place. Gluing the panels is just more to deal with and it wouldn't offer any significant advantage to a properly joined frame.