Bridge Ratings read in Lightroom

I use rating (1-5 stars) to rate my photos in BR, and it can be read when I import all photos (including not rated photos) LR Classic.

However, if I use Color (6-9) to separate different set of photos, it can not be read when I import those photos in LR Classic.

I am using Mac 16 pro, I would like to ask why I can't read those Color in LR Classic? Anyone with same problem, how to solve it?