I’m from Ohio and I know I’ve heard my mom (also from Ohio) say “they didn’t say boo to me.” I’m in agreement with raventhief.
I always understood it to mean hearing nothing, getting no response. Similarly, “didn’t say boo hiss”, though that one makes less literal sense.
The closest expression I know, is (if no one spoke/to or recognized you), “With no, hi, bye, or kiss my ass!”
Just wanted to say, that’s really interesting about the “Do not want!” origin. I did not know that.