Pro No. 2) Free agency/trade attraction
Right now, no NBA star is attracted to come to Brooklyn -- that's just the harsh truth.
The Nets don't have anything to beat out other teams for a top-tier player wishing to move cities. With a trade for someone like Murray, they at least put themselves in a position where they can use the fact that they have an All-Star guard as leverage.
The whole reason Harden wanted to go to Brooklyn was because they already had Durant and Iriving, and from there, they signed former All-NBA vets like Blake Griffin, LaMarcus Aldridge, and Paul Millsap.
I am in no way saying that Dejounte Murray is going to get the next KD to come to Brooklyn, but it at least provides a building block for a team that looks lost right now. Their best assets are Cam Thomas and Mikal Bridges, and unfortunately they are currently on the outside looking in at the Play-In Tournament, with no pick in the 2024 draft.
Every year there are at least a few high-level free agents on the market, and with a great facilitating guard/scorer like Murray, that's a talking point on top of the idea of playing in New York City.