Microphone not working at all in Xbox PC Party

That generic support doesn't really apply here. The problem is with a PC microphone, not an Xbox One microphone. The Xbox App on PC detects the mic and it works if I start a party via the app, but it doesn't work in any capacity on the Xbox One for parties
or game chat.

I think the Blue microphones are all USB microphones, so I'm not sure you'd be able to use it for stream chat on your PC and game chat on your Xbox console at the same time. It's probably possible if you use the Xbox app on your PC for party chat though.

I'm having the exact same issue. I have the logitech G930s too. While using the xbox app for just party use you won't be able to hear others and they can't hear you. The headset works correctly with game sounds while streaming to xbox one back to PC but
still won't work in the parties. The issue is that the headset will just not work at all with any type of xbox party function... While streaming xbox one to PC or while just using the party system in the xbox application for windows 10. (Microphone and earphones
will not work in party chat as said... while the ability to create, leave, and join the party actually work.)

It depends on the type of your streaming Microphone.

If it's an USB microphone, then no.

If the Microphone has an analogue connector (e.g. 3.5mm jack), you could use a headphone/microphone to CTIA adapter, and plug your Astro into the headphone plug and your streamer microphone to the microphone plug, and then plug the CTIA adapter into the
controller.

Alternatively, if you use a third party streaming software and are screen capturing from your PC, you can start the Party through the Xbox App on your PC, and stream the game to a capture card on your PC. Then you can mix the game audio from the captured
console with your party sound (if your streaming software allows such a mix), and then stream that from your capturing PC to your streaming platform.

What specifically doesn't work? The stream audio or the party audio?

Was that not covered in the OPs post?

"I'm unable to use the microphone on my Steelseries when coneected to my PC using a Remote Streaming session"

"just not when joining a party during a stream."

Seems to me that the OP is playing using the Remote Play function but the Microphone doesn't work when in a party chat whilst using the Remote Play. the Mic works fine when directly connected to the Xbox or used via the Xbox App