So, just for information, I went ahead and checked the stats. I used 1695 for OU, 1630 for other tiers.* Apologies if I missed anything, I mostly relied on ctrl-f and assuming that all Psychics and only Psychics were potential Future Sight users. Also, the info is by necessity completely out-of-date, this can be much more accurate in a week. (I'll let someone else compile that info though, I'll be back at work)
So, in the
latest OU moveset stats, there are only two OU psychics, Latios and Slowbro. Latios does not get a switching move, and Future Sight does not show up in it's moveset stats. Slowbro uses Future Sight 65% of the time and Teleport 92.7% of the time.
Other relevant Psychics**: Tapu Lele gets FS, does not get a switching move, 0 FS usage. Slowking, Teleport 90%, FS 88%. Hatterene, gets FS, only switching move is Healing Wish, does not use FS***. Latias, gets FS, only switching move is Healing Wish, does not use FS. Cresselia, gets FS, only switching move is Lunar Dance, does not use FS. Mew, gets all switching moves, gets FS, does not use FS. Victini, gets FS, gets U-turn, does not use FS. Slowking-G, uses FS 41%, does not get a switching move. Jirachi, uses Doom Desire 18% of the time, does not use FS, uses U-Turn 54% and Healing Wish 25%.
So in OU, all of the Slows use Regenerator+Future Sight+Tele, but basically nothing else does. There's plenty of psychics who use FS+Tele at less than 0.5% usage, but most of them the move usage is under 10%, so I would assume that's not relevant. Shout-out to Reunicles, the exception that has Regenerator+FS and uses FS 33% of it's 0.308% usage.
UU has Tapu Lele, Latias, Alakazam, Hatterene, Victini, Jirachi, Mew, and Azelf. The first user of FS in the moveset stats is Slowking-Galar, which does not get a switching move, at 3.94% usage and using FS 75% of the time. Jirachi notably does not use either FS or Doom Desire to any detectable degree.
RU has Slowking, Gardevoir, Starmie, Indeedee, Espeon. Slowking is the only mon in the tier at all that uses FS, at 80%, with Tele at 90%. Glancing at their threads, Slowking is definitely on the chopping block, but no one is mentioning other FS abusers.
NU has Gallade, Mesprit, and Claydol, and the first FS user is Beheeyem at 0.39%(with FS on 70% of it's movesets).
PU has Jynx, Kadabra, Mr. Rime. Jynx has Tele and FS at 17% usage each, no other FS users in the tier are viable.
Also worth noting that RU and OU are the only tiers who appear to be discussing Future Sight at all, and RU is fairly certain that Slowking is the problem.
So what does that mean? There are a lot of mons that get Future Sight+Teleport or another switching move, and Tele in particular has a lot of overlap with STAB FS. But the only users of this in OU are the Slows and Jirachi(kinda). And Future Sight/Teleport are generally not viewed as problems in other tiers, just in OU. That says to me that the mons are the problem, not the move. I'll refrain from discussing Urshifu vs Slowbro.
*I realize only OU is relevant here, but I also like more information in general. All my conclusions are based on the OU numbers alone.
**Over 1% usage in OU+Jirachi because it's at .98%. Yes, this is arbitrary.
***Between Healing Wish and Trick Room, I would expect Hatterene/Latias/Cress to be really good for Future Sight shenanigans, but they are not used for that.