Game is unmodified.
I'm running a custom start (budgeted).
I've invested is a major hardware upgrade and X4 runs like a dream. As a stress test of my system I left Livestream running while sleeping. When I woke Livestream was a slideshow. I think I know why.
I've noticed from Coordinated Attack livestreams across sectors that the game shares some information about location across sectors from the camera panning to the target while in a prior sector. I think livestream is generating large amounts of this shared data and not cleaning it up, leading to performance issues.
I suggest a higher limit on this shared data would be appropriate.

You will, I suspect, have Livestream testbeds of your own. But to eliminate my system and save for your inquiries I have included a save, DXDIAG and Vulkaninfo. Livestream slowdown is not save persistent but you might find something to help. You're looking for a Sector Memory value, I think.
https://limewire.com/d/aYdvE#xWTppU7PRX