Even if you reduce bearding, and get all those bees inside the hive, that does not mean they are doing anything productive in there. The bees that beard are the ones that are just hanging around anyway. Bees spend ~50% of their time just hanging around. When it gets hot, they just spend that time outside the hive to reduce temp inside.
So while reducing bearding may make you feel better, I don't think it makes your hive more productive.