Yes, that's a good idea. However, it's more than just about the songs, it's about user styles, preferences, usertracks etc.
That's why I was wondering if keeping all the content of the BB folder (and all subfolders of course) syncronized in the 2 (or more) computers will effectively let you work on an exactly the same BIAB configuration on each computer. This is true only if BIAB saves everything inside its own BB folder. If it saves stuff in other folders (like the Windows system folder or others) then things would get more complicated.