This is a case where the public opinion literature on democratic norms is very practically useful: voters don't like efforts to rig elections in isolation, even as they won't massively punish candidates who back such proposals in general elections (where many other policies are at stake).
Still, "they did it first" is almost certainly the best way for both parties to raise public support for these proposals.
A new POLITICO poll shows California voters prefer keeping an independent line-drawing panel to determine the state’s House seats “by nearly a two-to-one margin” (64%) while only “36% of respondents back returning congressional redistricting authority to state lawmakers