bridgeを利用して lightroom classicと連携

No.

Surprisingly, the coding between rated and labeled code is completely different between Bridge and Lightroom Classic.

I use both, but I hold all of my personal images in LRC, and I use Bridge for small groups of images that will never be stored within LRC. I do all my rating and labeling of my personal images in LRC, and the small groups of images I do rating and labeling in Bridge. 

I find they serve different purposes, and I have no need to try and merge their functions.

But what I do means nothing to anyone else, but still, the limitation remains and it will never be unified.