That’s what this originally meant. It got tortured into a prohibition on any kind of assertion of faith under public auspices.
Superficially there are arguments for doing that. We could ask what if Muslims or Satanists did this. But maybe it would be good if they did. At least it would get a dialog going. Sometimes the wolf needs to be at the door before we will believe there are wolves.
The Muslims, Satanists, Wicca, etc., are freely practicing their religions in schools - its only Christians being prohibited from practicing Christianity in schools.