If gigachad is messaging her then they'd shoo you away at the bar and immerse themselves in the texting, otherwise the game stays the same, they have a protective mechanism which prevent them from getting too invested if a male doesn't provide them attention (regardless of power and attractiveness and fame)
Nature installed this mechanism because even though gigachad is everything, and you are just something...it's better to get 100% of something than 0% of everything.
It goes back to the African praries where it was necessary to also secure resources and protection for pregnancy and later on, not just healthy sperm