Disney has owned many companies that they were hands off for creatively. Pulp Fiction was released by a Disney owned company. Do you really think they added a "Disney generic touch" to it?
The cries of Disney meddling were flung around when they bought Marvel, but that didn't stop controversial storylines from going forward.
A more realistic view is that Disney likes to acquire companies that appeal to new consumers then let the person in charge of the department run it as they see fit as long as it delivers the revenue.