Same here, I have tried with many different sims and no option to use the dj boot outside of my lot, basically those in the world of Winderburg and also placed on lots... But there is the option to turn on the music, like a stereo. I expect to be able to use DJ booth in any type of lots and every possible place outside lots...
I am having the same issue - DJ booths can be used at home but not on any externally placed DJ booths. I tried replacing them, changing the lot type, etc. Nothing works which is a big issue since some of my Sims were DJs as a career...
P.S. - Not a mod issue either; I took all mods out and repaired my game which did not solve the problem.
Okay so I just tested this with my Sim who has full DJ skills - she can play music outside of her home lot. So it only applies to Sims who have lower skills... which is annoying still because where are they supposed to learn, unless you have a DJ booth on their home lot? But this is technically a workaround.
