Well, I think they might object if you used it in such a way as could be considered even slightly defamatory.
Walt Disney World has a number of backstage tours. One of them, "The Magic of our Steam Trains," was conceived and implemented by two WDWRR cast members (a conductor and an engineer, as I recall). Their vision was of actual WDWRR cast members taking guests back to the Roundhouse, letting them climb into the cab of a (cold) locomotive, demonstrating a boiler blowdown (what they do to purge the sediment from a steam locomotive boiler), and finishing with a brief lecture about Walt's history with trains, all before the park opens in the morning.
Management barely tolerated the tour. Until it turned out to be a big hit.
For the badge issued to tour guests, and the souvenir pin handed out at the end of the tour, management decided to use the designs that the WDWRR people had come up with, with only minor redrawing by Disney artists (strictly to ensure conformity to the standard Mickey Mouse character design).
At Disneyland, when one of the Disney artists painting watch faces in the clock-and-jewelry shop on Main Street comes up with an entirely new design, it has to be submitted for official review before it can actually be scanned onto a watch face; even if you pay the big bugs, and commission a custom watch, you can still only get trivial variations (e.g., personalization and so forth) on pre-approved designs.
Now on the other hand (going back to Florida for a moment), if you take the granddaddy of all backstage tours, the 7-hour, 3-parks-with-a-private-bus Backstage Magic tour, you'll probably see a fair amount of Disney art, by cast members, that hasn't been formally approved for public consumption. But it's in a backstage area, BSM guests are considered "privileged," with access to a lot of things not for public consumption, and unless you're an official Disney photographer, backstage areas are no-photography zones anyway, so what's hanging on the backstage walls stays backstage.