The en vogue 'Supreme Court always sides with the Administration' is a lazy and inaccurate take. (That's usually used to justify 'And that's why I don't need to spend time looking into the actual details and just give up')
If people actually took the time to read the opinions [0], they'd realize...
1. Many of the 'allow the administration to continue' rulings are overriding stays, rather than actual decisions. Those cases are still pending in the courts and will eventually end up back at the Supreme Court.
2. Of the actual Supreme Court decisions, the news typically gives the most dumbed-down, hot take version.
3. Even to people without a legal background, much of the decision or dissent is written in plain English, attempts to lay out the rationale, and can be read by anyone with a secondary education.