I recall this does seem to work across (separate) projects - but there’s still problems of it not (fully…?) working within the same project - and that’s disappointing, at this stage of the game… 
See here:-
Now, select your channel and use either CTRL+C and CTRL+V for copy/pasting OR you can try ‘Save Channel/Load Channel’ settings - unfortunately the problem outlined in the video at the above link still stands at C6…
Maybe its just with this compressor ‘sidechain’ scenario (I’ll get round to some more testing when I’m back at my machine in a few days). But even still, seems a shame…