I'm more of the mind that happiness is better as a side effect of a good life than the sole pursuit of your life. People who chase happiness as their primary meaning to exist usually are not very interesting and highly materialistic.
I think no matter what you do it will have a deterministic effect on your kid. If you're more responsive than deterministic they'll observe you for cues of who/what you have the most respect or adoration for and maybe seek to emulate it (or if they're rebellious, spite it). There's a fine line and moderation is important as with everything of course.
We sent them to various sports but my youngest found football via watching the World Cup, my eldest found swimming as we went surfing and he wanted to be better.
Their choices. We just facilitate.
I don't think providing them stimulus and opportunity is you finding it for them. Giving your child access to interesting people across various fields ensures they can learn about various intellectual pursuits. Treating them as a person with real ideas to consider ensures that they'll have the confidence to engage in the real-world as a peer. Giving them freedom and "down time" to explore their own ideas actually give them the time to find their own path.
Think of it as a vector, you can let them pick the direction, but you can ensure that they go far in that direction. They don't have to be a world-class mathematician, even being a well-respected local teacher is exceptional.
Personally I would have chosen this unflattering label for people who were pushed from birth into a particular career path and just followed along.
I understand the sentiment that chasing happiness without "purpose" or consideration to the world around you might make someone vain and hedonistic but I don't think that applies to being career driven. I do think a strong career drive (esp. external) will not make you happy, and may even be a source of discontentment.
I think the submitted article tried to make clear that just being a gifted child isn't sufficient to become a "genius", and favorable circumstances play a big role in turning giftedness into exceptional accomplishment.
Thus, wouldn't the same apply to happiness? Even if there were natural predilections toward happiness, circumstances can play a big role too in bringing the predilections to fruition.
Perhaps one needs to be "tutored" about how to become happy.
Those chasing happiness are usually unhappy https://fs.blog/knowledge-project-podcast/laurie-santos/
Are these people more satisfied with their lives? Do they feel their life is meaningful and worthwhile?
Victor Frankl might argue that meaning and purpose are more important and entirely orthogonal to "success".
I think this helps make it clear that any single goal can compromise overall health, even if along that dimension you're exceptional.
Some people would say that's very far.