I think the song title search function in BIAB is not of much help when it comes to help users find a style with matching characteristics/groove of a particular song (what I hears in my head and what I am looking for).
It helps setting the filter parameters; time signature, feel, and tempo to match the song and producing a list of styles with these parameters in no ranking order at all when it comes to match the underlying groove of the song.

In addition to these parameters It would be nice (not sure how) to have some type of search funktion that matches the drums (drum pattern/drum groove ..) of a song (best match).

Easiest would be to drop an mp3 file and BIAB suggests a list of best matching RealDrums.

Selecting one of the RDs drums would then show a list of styles with that RD in the stylepicker

Or even better as a second step to add another level of matching criteria e.g. to add on the bass and find the best matching combination of drum&bass and so on.