This is honestly the same thing. Also writing this as my last post wasn't as fleshed out. Still a -1 from me.
Scenario 1: GMS saying if sync worked and what nature.
You encounter a Bulbasaur with a bold sync. "GMS Sync has worked to Bold!" You get a Bold Bulbasaur.
Scenario 2: GMS just telling you it worked.
You encounter a Bulbasaur with a bold sync. "GMS Sync Worked!" You get a Bold Bulbasuar
Scenario 3: GMS working and stating the nature of the pokemon.
You encounter a Bulbasaur with a bold sync. "GMS Failed, Lax Natured!" You wouldn't catch it as then you would just be wasting a pokeball. Only with specific pokemon that could use multiple natures {like Swablu for example) Benifit greatly for it and is seen as overpowered.
Scenario 4: GMS failing and not telling the nature
You encounter a Bulbasaur with a bold sync. "GMS Failed!" You would just run away. If sync failed then that means its a very lower probability that you will roll into the nature you wanted.
As you see it makes no difference either way, you will always catch it if it works even if it tells you the nature or you just don't catch it since it doesn't sync. The only outlier is 3 but for very few pokemon.
Hunting by far is one of PROs best money sinks in the game {imo}, giving players the option to always see what they are getting{even if its backhanded} will be bad in the long term. It seems like a minor change but it completely changes the hunting format. It changes the fundamental rules of pokemon. {not counting gen 8 since with gen 8 pretty much everything goes.}