Last time we were at LC they posted a message in the app stating that if you needed transportation to meet in one of the lounges at a certain time. IIRC they did stress that it should only be the individual needing assistance, and others in the party should disembark normally.
On the way back I think they're less strict, and if there's room in the cart they'll take more people. But on the way 'out' there's usually a lot needing transportation so they limit it to just who needs it so they can get everyone across the pier in a more timely manner.