Vote - Don't Ban
Gothitelle is not prevalent enough in PRO to be meta shaping, the pokemon that Goth hard counters still have high representation, if Goth was such an issue this wouldn't be the case.
If your team is weak to any pokemon, then that is a problem with your team not the said pokemon. I am unsure why people seem to think this is exclusive to Goth. If you get consistently swept by Talon you change your team, If you get consistently swept by Azumarill you change your team, but for some reason if you get swept by Goth you don't change your team you come to the forums and request a ban.
Perhaps the reason people may be willing to change their teams for other pokemon but request a ban for Goth is because of the precedent set by Showdown. However in Gen5 which PRO is basically in, Goth was not banned on Showdown. It was only banned once Mega's and Choice Items were available in conjunction, neither of which are in PRO.
Sticking with the logic that this call for a ban spurs from Showdown, (putting aside the fact it wasn't banned) Showdown has a glaring difference to PRO, everyone has any Pokemon they like. When something is broken on Showdown, players can instantly bandwagon it. This cannot be done in PRO. Showdown is in no way applicable to PRO.
As for team preview, that swings both ways. You could put Goth in on a risky pokemon like Tangrowth and potentially die, when the player also has Blissey, which is much safer to setup on, but without preview you don't know that. But again not having team preview is not an issue exclusive to Gothitelle, however it still gets singled out. For example I like to play hyper-offence and have often sac'd a pokemon that I wouldn't have knowing what pokemon my opponent had waiting for me, should they all be banned too because of no preview? Of course not.
TLDR - PRO doesn't have the factors that contributed to Goth being banned.