I also am highly skeptical of your claim you are more native in programming, but I started when I was in my early teens so I'm not sure I can comment.
I think your skill at learning languages rises when you are very young, and you face diminishing returns after that, so adults never get that much better at learning a language than when they were young. With other things you begin later in life, you start at the bottom of the learning curve and improve much more. So adults and kids are usually about as good at language learning, unlike most things, so people think kids are magically gifted at learning languages because they are about as good as adults. And of course, adults are actually much better because they already know all the real world concepts from their L1. I've also seen it asserted many times that children learn languages faster, and I've only seen research supporting the opposite, so I think your claim is just the programming version of that fallacy.
There's also solid evidence that learning two or more languages as a child, while being slightly slower, sets you up better to learn more as an adult, as well as just making you a cooler person overall.
That aside, though, I share your skepticism. I was just relating my experience, and hoping maybe we could, you know, have a conversation about it :)
Now it may be that's more about our techniques for second-language acquisition than brain structure differences, but it's sure interesting, innit?
In linguistics, the conventional wisdom is that native-language acquisition is fundamentally different from non-. Anyone besides a small child will quite likely never develop native fluency in a new language, no matter how long they speak it.
I often feel that way about programming-- I started learning C at an incredibly young age, and while I sure wasn't very good at it, I do think it patterned my brain somehow.
I get the sense when I work with other developers, people who learned to code in their teens or twenties, that there's something different going on. They're fluent in the language, they probably know more about it than I do, but they're thinking differently. I'm certainly not a genius or a savant, I've never taken a programming class in my life that taught me something, and I don't brag about my code, but I often experience a near-effortless acquisition of new languages, styles, even paradigms that other, talented devs seem to struggle with. I'm sure there must be many other people out there who share this experience.
So this is just speculation, but is it possible there's some underlying aspect of code-thinking which, sadly, it is too late to learn?