This is admittedly kind of an oddball interpretation of "better gamer", but my personal take on that is being able to enjoy games more, as opposed to any measure of skill in playing them (and also understanding that there's a lot of overlap there, but humor me for a sec :P).

Perspective: currently in my mid 30s, peak gaming for my childhood was competitive shit like the N64's Smash Bros (which is the best Smash Bros. Fite meh.) or 007; fast forward to some racing type games, COD... the thing those all have in common was that the fun was in defeating your opponent, and any aspect of the game that wasn't competitive just kinda automatically felt not fun. Nor was getting stuck in a losing streak from playing against people better than me; or winning streak from playing against people who weren't challenging to beat. The window of potential to actually have 'fun' was shockingly narrow.

The game that kinda pulled me out of that was Halo CE. Right out the gate, it looked like any other shooter, and it had a rapidly growing community and the competitive elements that caught my initial attention. Fire it up, and it IMMEDIATELY stood out as something special. Up to that point, videogame music was pretty much exclusively simple digital sounding jingles, so the Halo CE login screen music hit like a fucking truck. I start up the campaign, and experience another first: the story had me hooked. Campaigns in shooters only ever felt like a tutorial you have to sit through to not be terrible in multiplayer, but Halo CE was like a full-blown movie, with each scene supported by a literal symphony.

It made me look at games differently - things like Zelda had flown under my radar, cuz what's the point if there's no multiplayer?? Not even score to compare?? Got myself a copy of OOC, and "...oh, that's why."

So, long story short, Halo CE was my gateway drug into RPGs.

More in tune with OP's question though, it kinda yanked off the blinders that stopped me from fully enjoying parts of some games, or entire genres of games.

...and that whole spiel is ofc relative to my subjective experience to the gaming industry circa ...idk, 1995+? So, Halo CE probably won't hit the same against today's gaming industry: but keep an eye out for games that blend elements you know you enjoy with material you haven't really dabbled into - you could unlock an entire new genre of awesome experiences.