If someone was murdered and the cops had some reason to believe the perp was white and spoke English natively, I'd have zero issues with being pulled in for questioning on nothing but the fact that I match those features (even though I have no priors or anything else that would otherwise indicate me a good suspect).

The order was stayed because the lower court made a massive overreach they have no business making. There are many lower courts, there is only one SCOTUS. SCOTUS does not have the bandwidth to hear all the cases on the merits docket if lower courts keep overreaching.

Your options are either this or somehow forcing SCOTUS to process the merits cases much faster, which people would also complain about ("justice can't be rushed!"). But of course the complaints only ever come when the decision is one you disagree with. When things are expedited in your favor, people tend to have no problem with that.