You have to be careful what you ask for.
Being able to export as the same track type as the track type in the project results in a pre-panner/level (and anything you can think of) export without panning, partial leveling and plenty of other processes.
You can as easily record from your output buss, no need to create an extra group for that.
Just route your 5.1 groups to the Main 5.1 “Master” buss and to your Stereo “Master” buss.
And -for example- another set of those for your M&E mixes: of course without DX group routed to these …
Surround will be passed unaffected, stereo will be fold down correctly.
Unless of course you have the time and money to do a complete separate stereo mix …
Then set up your different listening sources in Control room, so you can check and A/B the different formats on the fly.
That is how most of us do it.