I'm not a scripting guy, but those profiles/settings, etc are saved in TXT files (I believe.. maybe? I haven't heard of storing any such items only in the Registry)
So, you should be able to write a script that reviews certain files and grabs the content you want and copies/moves them? that might get complicated
Or you could go MacGuyver and simply save settings/export when desired (the nice part being that testing/playing doesn't get auto-replicated this way, only when you explicitly want a settings update copied across.) Then with something like Robocopy or similar looking for new files, copy across as soon as available. Then you have getting those new settings into 2nd OBS PC, which again could be a script that parses the content and makes the edits for you...
I'd be inclined to save/export to a common shared folded (NAS/whatever?) and do the manual Export/Import so that only the desired changes come across (vs testing). And then you also have a log/history of those settings, and can revert easily if need be
Which reminds me... I made a bunch of Scene changes yesterday and did NOT export/save those... oops.. I'll go address that oversight next time I'm on the OBS PC. Thanks