I've often wondered if "natural talent" isn't instead just a better understanding/intuition of body mechanics and how to align the body to shoot straight, which may or may not be a conscious thought for beginners. There's also probably some degree of shot visualization that's naturally better in some people. And from there those players are able to hit the ground running and bypass a lot of the frustration and false-starts that might hobble other players or hold them back for years, if not decades.
My theory is that some players pick up the game and have decent mechanics almost immediately. This may relate to better overall hand-eye coordination or athleticism.
We all know people who are good at just about anything that involves hand-eye coordination. I used to play in a pool room with a lot of casual players, and I would notice that every once in a while, a guy who clearly didn't know how to play could break pretty well and had a straight stroke, even though it usually looked a little clumsy. And then I would see other people who couldn't even attempt a break without miscuing and couldn't make a straight-in shot to save their lives.
My own experience playing pool with my group of friends in college when we were all beginners showed me that people definitely develop at different rates. I was the worst among my friends when I was starting out, but ultimately that's what spurred me on to learn the game. If I had been able to just plop down on the table and shoot balls in right away like some of them could, I don't think the game would have grabbed me.