They should rest Pau and Rose too.
The media & Bulls' fans alike have been very kind when it comes to Rose & "rest" (aka being injured)

. If this team ends up not making the playoffs, cool. They've been a real chore to watch for going on multiple seasons, but at least be realistic in what you're asking for, which is essentially that the Bulls trot out a roster comprised of Brooks, Moore, Snell, Holliday, Portis, Felicio, and Bairstrow for 22 more games - you're crazy if you think veterans like Taj (who's currently injured) and Dunleavy (who's old with a bad back) is going to want to play with that
(not to mention that the fans and ownership themselves wouldn't go for it as the Bulls again is leading the league in attendance).......
For all the shyt that Rose & Jimmy get for not meshing & clicking, they've only started together for what is a little over an NBA season, and Jimmy's been here since 2012. You look at some of the most heralded back courts in the league
(Klay & Curry, Lowry & Derozan, Wall & Beal etc.) and see not only the discrepancy in the amount of games they've played together in comparison to Rose & Jimmy, but also look at the fact that the opposing front offices put those other backcourts together with the idea that they'll compliment each other... The same can't be said about the Bulls because Jimmy emerged out of nowhere and no one expected him to be this....
Bottom line, if Rose & Jimmy is healthy they NEED to play together as much as possible at this point.