Yes, when you "rent" a house, it's pretty much the building only. Anything that is permament (lobby lights, dressing room lights, etc) is included...but every piece of tech is brought in BY the production.
I cannot speak for touring productions, but it's likely similar.
If we're not having fun, then why are we doing it?
These are DISCUSSION boards, not mutual admiration boards. Discussion only occurs when we are willing to hear what others are thinking, regardless of whether it is alignment to our own thoughts.
In a Broadway house, the theatre is licensed bare and the production provides EVERYTHING.
For a Broadway-style tour, the touring production travels with everything and provides everything - lights, sound equipment, etc. the tour's Tedh Rider specifies what the theatre will make available to the show - generally just spotlights to the productions specifications and a generic consent to tap into the theatre's available equipment if needed.
Look up one of the hundred of YouTube videos sjowing a tour load in