You mention "lack of trap doors" as though a trap door should b included in a design by default, which confuses me.
There are an infinite number of factors at play.
Broadway stages are bare. There are no traps / elevators. It all has to be designed and engineered and structurally safe for the venue. That requires a lot of work and a lot of money, then you have to worry about the logistics of using it... Getting things on and off, opening and closing - many directors dislike the void created by an open real before and after its usage. It also takes up valuable space in theatre that could be used for musicians, actors, wardrobe and hair... You have to dedicate a certain amount of space for people and things backstage.
When the show closes, you also have to remove everything and restore the theatre... In the case of a trap, that means a lot more work.
as far as recreating for a tour, you would be surprised how often that ISN'T a consideration. But they will find alternate ways to make it happen on the road without a trap, just as if the producer had banished them from the broadway design.