John MacArthur and ancient baptism

A little further reaction to John MacArthur's sermon on 1 Peter 2:
It's actually a good sermon overall, encouraging believers to fill their lives with God's word. But besides reading the whole text through Calvinist glasses, John twists Christian History itself when he makes this claim:

There was an interesting routine that was followed by some early Christians in their baptism where they would be baptized in their old clothes, and then when they came out of the waters they would go to a dressing room and they would be given new clothes. This was a symbol of the fact that salvation marked the shedding of all that was old and the beginning of all that was new.

Alas, as longtime readers of this blog are aware, the ancient custom involved removing clothes, all right: but BEFORE the baptism, not after. Cyril of Jerusalem, for example, wrote:
"As soon as you entered, you put off your tunic; and this was an image of putting off the old man with his deeds. Having stripped yourselves, you were naked; in this also imitating Christ, who was stripped naked on the Cross, and by His nakedness put off from Himself the principalities and powers, and openly triumphed over them on the tree."