You know I googled this immediately after I posted it, and you're absolutely right, but a good chunk of the syntax still kind of looks like regular expressions so I don't think I was too far off!
“Globs do not include syntax for the Kleene star which allows multiple repetitions of the preceding part of the expression; thus they are not considered regular expressions, which can describe the full set of regular languages over any given finite alphabet.”
— <https://en.wikipedia.org/w/index.php?title=Glob_(programming...>