Questions on the continued dishonest relabeling of the Separation of Church and State

Because some conservative activists attempt to relabel the Separation of Church and State as the government stopping religious people from being in the "public square," I thought it fitting for the 300th time in my life to remind those I can, since the media continues to fail to do so, that what courts have prevented has nothing to do with blocking citizen's access to the public square.

"State officials may not compose an official state prayer and require that it be recited in the public schools ..." Engel v. Vitale, 370 U.S. 421 (1962).

Notice the court did not say people can not compose or recite prayer, it says the State may not. Why is that so difficulty to understand? Or does that repetition of this lie have nothing to do with understanding. Do those that repeat it know that it is false and find it fitting to lie to the American people over and over again? Further why is the media so inept at confronting this lie?