Kubernetes: achieving uneven/weighted pod distribution in EKS
This is not something the Kubernetes scheduler supports. Weights in affinities are more like score multiplies, and maxSkew is a very general cap on how out of balance things can get, but not the direction of that imbalance.
You would have to write something custom AFAIK, or at least I've not seen anything for this when I went looking last. Check out the scheduler extender webhook system for a somewhat easy way to implement it.