Is it easier because it’s easier to flip? I don’t understand the guys saying they gut first then do gutless (remove 4 quarters and trim). The whole point of the method is not dealing with guts. The only “hard” part about the gutless is getting out the tenders. Depending on the situation I’ll save the tenders for last then zip up the belly and let some of the guts spill out to relieve internal pressure that pushes on the tenders. If done right, I never touch the guts, gravity allows them to spill out. Just make sure you do it last so you don’t have to deal with the guts.
This wasn’t exactly directed toward you specifically, a few people mentioned similar. If someone wants to take a look at the wound damage then gutting seems about the only option, but once the hide and shoulders are off, it’s usually pretty apparent what damage the bullet did.