Stand corrected!
I think I get where you were coming from - You don't have discrete left and right channels,
but all of the same information is still there.
It's just stored differently, as sum and difference - I.E. information that's common to left and right on one track, and information that is not stored on another.
Not sure if people know this or not but you can take a regular stereo recording and process it in to sum+difference tracks.
Just import some stereo song, pan both channels (L+R) centre, bounce that to a mono Sum.wav
then, looking at the same tracks in your daw, flip polarity of one of them and bounce again to a mono Difference.wav
Sum.wav is equivalent to your cardioid centre mic and Difference.wav is equivalent to your figure 8.
If you now clear your session and process those two wavs like you would a M/S recording and bounce, you'll have your conventional stereo track back.
We've probably all got stereo width plugins which do this behind the scenes.