Was just wondering, what is known about the mechanism that causes some blooms to be polymerous.... and does the occurrence have any impact on the quality or nature of the pollen/ovules of that particular flower. The photo is Snow Dragon, a bloom from a few day ago that prompted my question. Thx!

The simplest answer is that very little is formally known about the mechanism(s) that produce(s) polymerous daylily flowers. I can say that if polymerous flowers are typical then the genetic component will be "dominant" and that it will vary in appearance and even presence/absence even when present in a specific daylily.

To answer your other question, the pollen/ovules will not be affected in any way by having the bloom poly compared to a typical bloom. But on the flower that you have pictured, the style is obviously twisted and malformed, so that bloom is unlikely to set a pod as the tubes are likely blocked by the malformation.