Cerebral musicals haven't exactly stopped coming to Broadway because Disney is here. Beauty and the Beast was the first Disney show to open in 1994. Shows that have opened in its wake include Rent, Bring in 'da Noise, Titanic, Ragtime, Parade, Contact, The Wild Party, Marie Christine, Urinetown, Avenue Q, Caroline or Change, and Light in the Piazza. Whatever one thinks of their quality, I wouldn't call any of them mindless. (I also wonder about Hairspray being grouped in as a trend of mindless musicals - it's probably the most subtly and hilariously subversive show to ever be co-produced by a corporation.
Disney did usher in the era of corporate producing on Broadway, with such entities as Clear Channel, Endemol, Universal and Warner Brothers jumping into the fray. But corporate producing is not a crime if the end result is as strong as The Producers or Hairspray. Disney does have a way of marketing their shows which is pretty staggering. Given the reviews that Aida received, Disney managed to get a run of more than four years out of it, and managed to turn a profit, where most other producing entities probably would have folded in the tents.
With the city's help and initiative, Disney brought back the New Amsterdam, where other Broadway producing organizations failed to get a renovation of that theatre off the ground (and the Nederlander Organization famously left that theatre in worse shape after their thwarted attempts at a restoration failed). Disney's presence on 42nd Street brought us two more Broadway theatres (the Hilton and American Airlines), and while the new 42nd Street is not the 42nd Street of my dreams, it's clearly a better place than it was prior to Disney.
Finally, it is always helpful to have family-friendly hit shows on Broadway. Any night at Beauty and the Beast or The Lion King, you'll find hundreds of kids excitedly seeing their first Broadway show. Any time a poll topic comes up on this board about what someone's first Broadway show was, you'll find a generation on this board saying "Beauty" or "Lion King". If those shows enchanted young people to grow up to appreciate and love the theatre, then I think Disney's presence is all for the good.
"Gif me the cobra jool!"