The statement won’t stop anything. They’ll still use the same game over and over, knowing that the Supreme Court simply can’t hear the appeals and overrule their injunctions fast enough.
The only solutions are for Congress to impeach any judge who tries this, or for the President to order the government to simply ignore these overreaching injunctions.
You are right. Republicans should have impeached 20 or so judges early on. The rest would have received the message. There should be a standing philosophy that a federal judge whose rulings are reversed on appeal three times will be impeached for incompetence.