Discovered, through as thorough a play-through as I could manage on a Samsung S4, that the standard package for Android you get by following the official steps for RPG Maker MV just isn't really good enough. Also was not able to get it running at all on my LG K10.
Time to test out some alternate HTML5 wrappers, and failing that, try making a pared-down version of the game for Android. Really don't want to do that, though...