I would like to create a group promotion rule that moves members from one group to another if a specific profile field is filled out (with any text).

I have tried to enter the usual wildcard characters (*, %) in the relevant (text) field under the "Filters" Section.
It appears that the group promotion isn't executed.

I have checked the documentation if it mentions anything regarding the use of text fields in group promotions, but I haven't found anything relevant there.

These currently are exact matches for profile fields. If you are looking for loose or any, please submit your suggestion in the Feedback forum.