There will certainly be a few leaders in eastern Europe who will welcome the European Reassurance Initiative. After all, there were a few leaders in eastern Europe happy to follow the US into Afghanistan over the objections of their people.
The technical term for such grovelling is "sucking up to the big dog."
It's a popular pastime among certain elements of the European elite.
It is bound to polarize the people on the street. There's a very wide swath of the population that is no more eager to have US troops "protecting" them today than they were to have Soviet troops "protecting" them in the bad old days.
Look for anti-US demos in the streets of Warsaw by the end of the month.