You need another GPU for that. Not really practical.
Honestly, the worrying part is that NVIDIA may block this. If I remember right, they did something similar back in 2017 with the P106 mining cards (GTX 1060 equivalent) when people bought them for cheap.
No? Why would they need to be in different machines? You can stream from one GPU to another, whether they're in the same machine or not. One GPU may be a cheap little one built into your motherboard. You probably already have it anyway!
And even if you did need two machines... again that's how gaming streaming services work. Cheap end-user machines or iPad or just TV, and then a gaming system streaming video output somewhere else.
Thats not really called "streaming". So given that somewhere in this thread there was a youtube link on how to do that, which required testmode in Windows - it's still not practical.
The data would literally be streamed along a bus from one storage to another. The name ‘streaming’ literally appears in some APIs you’d use to do it!
That's exactly what streaming means as a technical term:
Examples:
https://wiki.libsdl.org/SDL_TextureAccess
Make up your mind. If I counter your "video streaming" argument, you can't come with "but I meant streaming on the same device" without even mentioning either a technology, or the most important thing there (the frame buffer). Now you want streaming to mean something that is used in game engines. How those 3 links help in making the mining card usable is for you to proof.