I think you overestimate how much the political apparatus cares about the long-term. It's hard not to agree that de-politicized courts are good, more or less, for everyone. But the right-wing won a generational battle for the Supreme Court. There is no incentive for any right-wing politician currently alive to propose that kind of change today; if anything, the political machine would call them out for proposing that their party loosen its grip on the reins.

We'll see how the right-wing feels after this next election. It's not a secret that whoever wins in 2024 will likely get to appoint several new justices, though the court as a whole will almost certainly remain right-leaning. If that control does start to erode, though, expect to hear much discussion about making the de-politicization of the courts a priority.