GFCB

And does the single player also benefit from this?

Some people do say the blur is better on the Pro, I'm not sure, I haven't updated yet:

Sorry to disappoint guys, but I saw some topics about HDR for example and the new patch doesn't fix it for the XONE X: For the PS4 (Pro) I don't know yet, but I doubt it to be honest.

Apparently there's a patch been launched: Here are the patch notes: Red Dead Redemption 2 Update 1.03 Patch Notes for PS4 Added support for Red Dead Online Beta. Added fixes for crashing issues with Red Dead Redemption 2 Added fixes for stuttering/lag issues. Red Dead Redemption 2 1.03 for PS4 has fixed some glitches. Added fixes for framerate drop and freezing issues. Added performance and stability improvements. Gameplay improvements added with Red Dead Redemption 2 Added other minor fixes and changes with Red Dead Redemption 2 Red Dead Redemption 2 update 1.03 is now available for download on PS4 and Xbox One.

In this article you can read that the RDR2 Online Beta will start from 9 November, so possibly we could get a Title Update Friday, let's hope! https://www.express.co.uk/entertainment/gaming/1040634/Red-Dead-2-Online-release-date-news-Battle-Royale-PS4-Xbox-One

Just so you know, I posted this as a ticket and this was their solution (ftm):