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"launcher3" was a generic name for a stock launcher provided with the android operating system, so it's quite possible that both Motorola and LG based their launchers on it. So if both are called "launcher3" that probably means nothing at all. The "lge" in this one's package name means LG Electronics, so it's almost certainly the one that came with the phone (I expect the motorola one was called something like "com.motorola.launcher3" - I doubt that anyone would port the LG launcher onto a moto).
From your and Luna's posts it sounds like LG are using a different launcher in their flagship models (G5 and G6) from their lower-end ones (like the Dynasty).
In any event, a launcher is nothing to worry about. Different launchers provide different ways of customising your homescreens, but that's all they do. I never use the built-in launcher on any of my phones because I always find them too inflexible, so I always install a replacement from the Play Store (e.g. Google think my Pixel needs their search bar at the bottom of my screen - they can forget that!).