Yeah, good luck with that. The district courts are going to take one look at the multiple denials of motions to intervene from every other higher court and just laugh it up while denying the motion. https://twitter.com/cristianafarias/status/1386677181833781249

This is a huge punt. Presuming the District Courts (which almost all found against the rule) deny the motion to intervene, we're talking years for the appeal on the denied motion to intervene to get sorted out, then if they win, years more on remand. https://twitter.com/mjs_DC/status/1386677215631450113

tl;dr, unless the district and appellate courts feel incredibly solicitous about expedited deadlines for a defunct rule from a previous administration, just to even get to the legal question of reviving public charge, let alone reviving it, will take years at best.