Imagine if you've a goal to increase height of people from 165 to 190cm with minimum number of generations. How will you go about it.
Easiest and fastest way is to have two tall parents breed. You'll see it happen within 2 generation.
Now, if you improve nutrition of people who are 165cm today. How many generations of better nutrition does it require to make them reach 190cm? Certainly more than 2 generations.
Point is that, if you think "sexual selection" is not fast enough to take people from 165 to 190 within few generations (as is the case with Dutch) then better nutrition certainly is not either.
Cattle/pet breeder do it all time.
How do you know most males get chance to breed in our society?
Just because a lot of men end up married and have kids to show doesn't mean they are their biological kids.
These days I see single moms are marrying guys who simply take care of the kids they already had.
Meanwhile Denmark sperm export is doing good.
These days many people are getting suprize on 23andme when they come to know about their lost connections.
We can get a precise idea about this since it shows up in the genetic record and over the long term it's under half. A lot more men than you think are cuckolds.
And but how do you achieve that just using nutrition?
Effect of nutrition on height is overstated. Unless someone is malnutritioned, their height won't benefit much with better nutrition
We can even see this in cattles, if you start with a short cattle, no matter how much you feed it for generations, they'll still he shorter than one you can get from tall breed.
(Yes, I am aware…)