Kind of false. People are intelligent in their own capacities. Not withstanding old concepts in psychology such as the triarchic theory of intelligence. People are naturally talented, which one might argue isn't 'smart', but it does represent the idea that certain concepts of human understanding are beyond merely research and practice.
There's people out there that I simply can't beat, no matter how hard I practice, at certain things. Kind of like comparing Mozart to Haydn. Haydn was a brilliant composer, and a phenomenal artist in his own right. He knew more about music than Mozart, but then again apart from musc buffs whose heard of Haydn? Mozart and Haydn were best friends, practically ... they weren't even in direct rivalry nor wished to be ... but sometimes one's talent with the extraordinary outshines everybody else, even if they lack the comprehensive knowledge and understanding of others around them.
Genius doesn't mean smart. This is particularly true of the grand majority of us seemingly having a broad number of interests and don't seem to magnetically find great talent in something. We kind of have to crawl there through sheer determination.
Like I was fantastic at tennis, precisely because I had Klinefelters (though no one knew it then until my teens) and my parents put me through a vigorously difficult sporting regimen. Spending 4 hours of physical training and practice with coaches most days. Now I loved tennis, I took to it with gusto, but I lacked raw talent and my Klinefelters inevitably meant I couldn't compete against other amateur, skilled tennis players once I got to 13 and it was eventually diagnosed as the reason. But to be fair it was also kind of obvious in some ways by that point as well.
The point is that talent alone can be a stand in for "intelligence", and it is often something you can't simply study. Whether for numerous reasons, you just didn't win the biochemical lottery. And it's certainly fair more nuanced and multifaceted than people make it out to be.
Now you can state that 'playing a sport doesn't make you smart' ... but complex hand-eye co-ordination and lightning fast reflexes coupled with precision biological control is something that simply being "smart" could never cover. Regardless of all your other impressive cognitive capacities and speed of processing stimuli, at and for, understanding the world around you, ain't going to mean you're going to hit return winners in a game of tennis compared to that pro.
Regardless of how capable you are at simply moving your body, nor how much you practice.
Intelligence is multifaceted and complementary. Simply being a human calculator won't make you intelligent if you can be suitably replaced by my smartphone and punching in numbers. Intelligence only really correlates to what you can do in what times to use that comprehensive cognition to affect and understand the world around you, and to find analogous co-ordination between the senses and meaning.
At best, intelligence is merely a feeling ofthe world around you. How good you are at comprehending meaning from what you see. You can have the processing power of a supercomputer, but it means nothing if you can't marry it to active comprehension. No matter how big your brain is, if you're utterly senseless, you're going to be unintelligible to others and yourself.
By you elevating your eyes, counting stars, contemplating that you are the universe observing itself, and pondering what dire ramifications that might have... that automatically makes you smarter than any computer that will ever exist that is currently conceivable.
In a way, artistic endeavour, and sublimely brilliant displays of sensual information transmission (and reception) that communicates meaning is the height of intelligence. Everything from the perfect presentation of scientific observations, to a wondrous ballet performance, to the perfect display of precision co-ordinationin light of everything that can be seen to be able to go humanly wrong.
It's everything we aspire to, everything that is beauty, and everything that we see ourselves in.
In a way, that stries off the possibility of true A.I. because if they were to form their own ideas of beauty, we wouldn't recognize it beyond programming, an adaptive logarithm, or a bug in the software.