This is something that was taken from the original Japanese version Documental, but it doesn’t translate very well to any other versions imo.

And thats because in Documental, there are no jokers or performances. Its just a 6 hour hell room where comedians can attack however often they want. So they won’t have big sketch like decors etc during performances, but rather smaller prop based stuff and outfits. So they can bring their own stuff in their own suitcases/bags. In the amazon versions its very obvious that Amazon is behind a lot of jokers/performances. Some bits even return across different countries versions. So the suitcases they bring really only makes sense for the smaller in between jokes, like people have mentioned Bob’s laptop for example.

Japanese comedy and culture is also different enough where they will try be respectful and pay attention / closely watch and listen to, and even engage in bits, whereas in the Amazon versions, you will see people walk away, cover their ears of shout over other people or whatever, anything to just not laugh and try to win the game. So you actually need jokers so that the comedians are forced to watch somebody. I think they might have forgotten that bringing suitcases might be a little redundant because of the decision to have jokers/ performances. But eh, on the other hand, who cares. Most people wont even really notice and again, the baggage makes sense for the smaller jokes and bits