DeAndre Jordan's agent would have definitely clarified such matters with him, so they can be said to be fighting for themselves, not for the future of the team.
Compared to DeAndre Jordan, Moro does not possess such high talent, and because of his singular sharpshooter role, he had been benched by Tyronn Lue in the Western Conference Finals due to his shooting errors before the lockout. However, as a sharpshooter who had proven himself in a championship team, he was still highly sought after in the market.
The reasons for the diligence of the other two were purer.
Beverley had just arrived, and he needed to make a good impression on the coaching staff.
Alonzo Gee was somewhat special. He was the "ace in the hole" in the Empire battles, aggressive both defensively and offensively, far beyond what a rookie usually is.
His desperate style of playing made Gee the darling of Seattle.