crape vs. wax & crape vs. crepe

The crape myrtle boasts the big flowers that grow in panicles (lots of flowers on a many branched structure) .  The wax myrtle hosts inconspicuous blooms. A bigger issue:  crape vs. crepe?  I think crepe says something about (like) pancakes, paper and neck skin. Crape is for the tree.  Almost everyone (like dictionaries and wikipedia) says so*.

We know how the Crape Myrtle Society of America do.   Who don't?  Southern Living.