>From that perspective, the headline reads "Signs of health and longevity determine whether men romantically desire or dismiss high status women", which sounds like a common mating strategy throughout the animal kingdom.

No, read the abstract.

>As predicted, a meta-analysis across all three experiments revealed that higher (vs. lower) status decreased men's attraction to moderately-attractive women (d = -0.20), whereas higher (vs. lower) status increased men's attraction to highly-attractive women (d = 0.47).

"Men like beautiful women because they want healthy offsprings" doesn't explain why the response is different depending on status.