The creator’s statements appear to be rooted in the source, “On the Bunny Trail: In Search of the Easter Bunny.”

You may be interested in the discussion under the article between commenter J.H. and the author Stephen Winick, where Winick explains his reasoning on the matter.

The video goes into this somewhat, but mostly focuses on the folklore surrounding the Easter Bunny. It’s speculated that it possibly originated from a springtime children’s game in Germany sometime in the 1600s. However, much is unknown.