Luggage on top isn't the only concern.

Picture a short person who has to get a heavy piece of luggage in an overhead bin that they can hardly can't see into. What do they do? They swing the luggage upward and give it a fierce inward shove. If this shove has a sideways component, it will bang and then scrape the luggage to the sides.

Is the case strong enough for that? If not, go to a crafts store and get something to reinforce it. Better safe than sorry.
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Too bad the Deb Cowan video has almost no playing of the guitar.