It's more that intelligence implies success rather than success implies intelligence.

Actual intelligence boosts chances for success, but it is not required for success.

Impossible. If women had choices, then they'd have a diversity of off-spring with a wide spectrum of forms, traits, and behaviors.

We know that can't be the case, because all men are identical and perfectly interchangeable, except for a tiny variance in peak performance which they use to sort themselves from Sigma to Omega for the purpose of obtaining Da Big Sequesy to produce more Sigma clones.

Speak for yourself!

I wouldn't put too much stock into the jock versus nerd stereotypes.

Life isn't an RPG with stats that come at the cost of other stats. Being bad at sports doesn't make someone more likely to be good at school (if anything, the correlation might run the other way). And charisma, ambition, intelligence, physical appearance, athleticism, work ethic, are all distinct factors that sometimes feedback on each other, and feed into things like wealth, happiness, attractiveness, etc.

The thing there is that when people say "people are attracted to intelligence" the intelligence people think of is different than the type people are generally attracted to.

Highly analytical intelligence is a type of intelligence. So is the ability to make correct choices in a variety of situations.
Almost every athletic endeavor entails being able to assess situations quickly and accurately, and know how to respond. Team sports require group coordination, training and predicting teammates behavior.
That's intelligence, but it's often considered a lesser sort than the analytical sort.

It's why people see the people doing work that requires the type of less prestigious intelligence as less intelligent, and see people being drawn to them as proof that people aren't really drawn to intelligence.

To be blunt: it doesn't matter how strong you are if can't read or get confused by the garage door opener every day.

It's the same as saying that people aren't attracted to appearance because plenty of people are drawn to normal attractiveness people.

What about the women that is into pepe lore or WW2 theory?

They are irrelevant, because they are both Fake and Gay

They don't exist. If women get into pepe lore or WW2 they grow male genitalia. It's not well documented but it happens quite a lot. The body starts producing massive amounts of testosterone and the stress ages and disfigures the women and also effects their memory. Most of the male incels on 4chan are former super models who got exposed to pepe lore or WW2.