One article that I know of with handgun ammo that looked at this was this one (
https://www.ssusa.org/articles/2019/1/18/38-different-9mm-loads), and they found the FP bullets were more accurate on average than RN bullets.
That author has said in another article that flat point bullets are more consistently accurate than RN bullets, here:
https://www.shootingtimes.com/editorial/super-accurate-38-super-loads/326242
I don't think it's a secret that FN bullets in handguns tend to be more accurate, but, as noted, it depends on the bullet and powder combination.
The general idea is that some bullets have a reputation for being accurate, and you'll see the same bullets referred to on multiple forums of competitive shooters, i.e. Bullseye forum, Brian Enos. in the 9mm caliber, Hornady HAP and XTP bullets are often mentioned. In the 45 Auto, Nosler and Zero 185 JHP bullets are often the choice of Bullseye shooters.
But I also have loads that are especially and consistently accurate in my 1911 that don't do so well in my polymer framed production guns, and that's from testing in a Ransom Rest. That said, my polymer framed production guns aren't great shooters in the first place. It's very possible that my expectations from them are not realistic compared to my 1911 with a Kart barrel.