Yup. They have an FAQ on the subject, and claim it's a Ventura bug and not one of theirs.
I've filed a bug report with Apple, for all the good that will do.
What's weird, annoying, and frustrating is that it will work correctly for the first day or two after a reboot, then start exhibiting the bad behavior. Once the "wrong desktop" popups start, they continue until the next reboot.