Disney's Dream class (Fantasy and Dream) have significantly more adult amenities and public spaces than the classic ships.
It's hard to compare the Royal Promenade to Disney as Disney chose not to focus on the specialty dining you find on other cruise lines.
I predict Disney's new Triton class ships will directly address those shortfalls as they are larger than Dream but keeping the same passenger count. They also need to address the "bored teenager" risk, which RCL has been very successful at competing against Disney.