CurlyJenn, thanks! I am so embarrassed, & deserve to be kicked off this site, but yes, it does have cocobetaine. It's later in the ingredients list, as you discovered; I don't know how I missed it.
I am so happy b/c I was thinking I'd have to use something really harsh to get the clean slate I'm after--this should be a lot better. I'm off to use it right now!
Thanks, & sorry for your trouble, but I really appreciate it!