OK, I've done some more testing and here are the results... I've recorded a few more hours of footage and so far so good. The micro-stuttering in the preview window on the streaming/recording PC is no longer visible (to my poor eyes at least), and the recording had no micro-stutter either. The only problem I had was when I did some editing in Sony Vegas afterwards (I use it to clean up my microphone's audio track). The rendered video had a bit of a micro-stutter to it but I think this was due to the fact that I recorded the footage with the same fractional FPS value that the OBS frame-rate setting on the gaming PC was set to (59999/1000) and my Vegas settings were set to render at 59.94fps (Vegas Pro 15 doesn't allow me to use a constant 60fps or any other custom value) so... I'm no expert but I think that by setting OBS video settings on the recording PC back to 59.94fps, it should be better for editing in Vegas.
I've recorded some footage at 59999/1000 and also at 59.94fps, I didn't get around to rendering the 59.94fps footage in Vegas to see if the rendered video was stuttering but there wasn't any visible difference when I played the videos with PotPlayer and the preview in OBS was hunky-dory during the recording as well. So my guess is that it doesn't matter what frame-rate you use on the recording/streaming PC as long as the OBS frame-rate settings on the gaming PC is an exact match to the recording/streaming PC's monitor refresh-rate.
So in conclusion... For a 2 PC setup using NDI plug-in follow these steps:
1- Verify what the exact refresh-rate is on the streaming/recording PC's monitor by using
https://www.testufo.com/refreshrate (the refresh-rate might say 60Mhz but it could be slightly different like in my case 59,999Mhz)
2- On the gaming PC, under the OBS video settings tab, set the frame-rate to match the refresh-rate of the streaming/recording PC monitor by using the "fractional FPS value" setting (for example in my case : My monitor = 59.999Mhz ; setting the Numerator to 59999 and the Denominator to 1000 will result in a 59.999fps value)
The preview window on the streaming/recording PC should no longer have any micro-stutter and you should be able to stream or record your gaming at whatever frame-rate you wish without any trouble.
Sorry for the long post, just wanted to be as thorough and comprehensive as possible for anyone less knowledgeable about OBS video and frame-rate settings. This method seems to work for me, I hope it helps anyone with a similar setup.