You really think so? This court has had a bad habit of not staying pro-Trump appellate court rulings while it deliberates. I'm not some sort of judiciary wonk so I can't think of that many examples off the top of my head, but one big one is how they let the regime keep collecting Trump's autocratic "emergency" tariffs right up until they released the ruling against them.

I think that, unless there isn't a single fascist judge in the entire appeal chain and every ruling maintains a stay against the executive order, USPS etc. will proceed as if it's valid until SCOTUS issues a final ruling otherwise and the elections will be fucked.