Yeah. I mean, literally the only times I use Rescue are:
  1. Pull sprouts to shelter in Behemoth, Amon, or Xande when it's clear they aren't going to move.
  2. Pull sprouts across the glowy floor to cleanse Doom in WoD if they're about to die.
  3. Pull sprouts with the stack marker back to the group in the Mhach raids.
  4. Pull people back when they're bring knocked off the edge of the first boss in Dun Scaith.
  5. Pre-arranged Susano Uptime Cheese.
  6. Pull non-sprouts into furniture in Grand Cosmos when it's clear they're about to die to Mortal Flame - "the piano of gentle correction".
  7. "LB3! ...crap, I'm in animation lock and going to die." "No you won't!" *movie zipline noise*

I use it maybe twice a month on a busy month, and more often once every two months or so. Maybe others use it more? And I tend to agree that Rescue is used for cheese—witness two entries on my list—and so will anything that replaces it. Truthfully, probably half of why I am fond of Rescue is that it's not just useful but *unique to healers*, which the role is light on. (Esuna? Bard can cleanse a debuff. Rez? SMN and RDM have that. Healing or shields? PLD, DRK, RDM...)

As long as I have *some* way to try to keep people up who are about to be one-shotted, I mostly don't care if we have Rescue or not.

But overall, my personal feeling is that letting other people disable abilities on my bar is just as disruptive as people feel being moved by Rescue is... only worse in some ways because Rescue misuse, where it happens, probably doesn't happen every run, whereas knowing that whether or not my abilities on my bar are enabled or not (and that this I have no idea if the ability in question will work at any given moment I tried to use it) would be a constant 100% of the time thing.

So I admit my preference would be to replace it rather than allow someone else to dictate whether or not an ability on my bar will function.

If it's how others want to go in proposing how things could be improved, though—by, in effect, allowing the party members to individually set restrictions on what can and can't be done in a given battle, so that the end result is something like the compromise between everyone's preferences/comfort zones—then despite my personal dislike I'm willing to go down that path and debate where the mechanic could be useful more generally.