Other way around, actually. Both types will damage some plastics, but original Brakleen (tetrachloraethylene) is just dry-cleaning fluid and is safe on far more plastics than the green-can "non chlorinated" crap.
In fact, red-can Brakleen is exactly the same thing as CRC Electric
Motor cleaner, which is safe for electric motor insulation. Green-can brakleen would instantly kill any electric motor you sprayed it on.
Both may also remove paint from painted surfaces, but not as well as most carburetor cleaner sprays. Berryman B-12 carburetor cleaner actually makes a good paint stripper for small parts
As you can guess, I think the "non chlorinated" brake cleaner is worse than useless, its harmful. Its also much more toxic than the chlorinated type, believe it or not.