This may be adding more confusion to the mix and may not even work. We know disconnecting the negative terminal works. I've fixed my problem, another op on this forum fixed his problem and Mazda service says it fixes the problem.
Trying to find the correct fuses in 2 different locations seems like a PITA.
I prefer to completely diagnose whenever possible. Disconnecting the battery worked for you, and the problem has not returned so far. But what if it comes back again and starts happening more frequently? In that case you're certainly going to want to fix the root cause problem, and not keep disconnecting the battery every time it happens.
So, given that it's not a big deal to do, why not invest a few minutes trying to diagnose the actual problem up front? If recycling fuses gets the liftgate working, that's an important piece of information, and virtually establishes the control module as the underlying cause. But if the fuses doesn't fix it, and disconnecting the battery does, then that's also helpful information, by eliminating the control module as the problem.
If this was a big effort, then yes I could agree with what you wrote. Finding and pulling fuses however, is a very easy thing to do. Just pop the fuse box cover and turn it over, use the fuse map to find the fuse, and pull it out. The 5 minutes it would take to do this is more than worth the effort IMO. But as always, your vehicle, your choice.