I think people consistently misinterpret the overturning of Roe (a calculated, focused effort that took decades and overturned specific judicial precedent that basically had created a right-to-privacy from whole cloth) with "Trump has SCOTUS in his pocket." He doesn't. The GOP got the two things they wanted from tilting the SCOTUS in their direction; there's no reason to believe this SCOTUS is about to start looking at the bare-face text of the Twenty Second Amendment and decide there aren't any words there.
The incentives just aren't there. Especially because it's pretty obvious that if they do ignore that text, it becomes pitchfork time and their necks are no less vulnerable than the President's.
(ETA: And that's ignoring that individual states are not obligated to put him on the ballot if he's inelligible to run for a third term, and by-and-large, Americans do not vote for names not on the ballot because they don't know their own civil rights).