The plot, as it so often does,
thickens...
According to SportsCenter's Michael Eaves, Paul had begun to resent Rivers because he, along with other Clippers players, thought the head coach was coddling his son, guard Austin Rivers.
"It led to resentment within the locker room, which often played out during games," Eaves wrote. "One of Paul's biggest contentions with Doc was that Paul, and other players, felt Doc treated Austin more favorably than other players. He would yell at guys for certain things during games and practices but not get on Austin in the same manner for similar transgressions."
Along those same lines, Paul reportedly became fed up with Rivers—who is also the team's president of basketball operations—when he nixed a trade last season that could have landed the Clippers Carmelo Anthony.
"New York offered Carmelo and Sasha Vujacic to the Clippers in exchange for Jamal Crawford, Paul Pierce and Austin Rivers, a deal to which Rivers ultimately said no," Eaves added. "That event led Paul to feel that keeping his son on the roster was more important to Doc than improving the team."
Austin
himself, and his sister
Callie, have responded to those rumours.
Austin Rivers wrote:These false rumors are comedy...so fictional it's actually amusing! People will say or do anything to get attention. A lot [clown emojis] out there
Callie Rivers wrote:yeah... thats what happened. people are delusional.

In all fairness, we only have the report to go on and they are more directly involved in/closer to the situation, but come on. Of course they're going to defend their father, even if there is any truth to the accusation.
If it is true, then...yeah. Good luck getting any better with Doc calling the shots.