"The other evolutionary answer is the aesthetic route — the resolution of differences between male and female needs and desires by behaviors and rituals that respect the other sex’s priorities and their decisions about how to pursue them."
The thing about beauty is that it is in the eye of the beholder. It is still subject to the fundamentals of natural selection. Those animals that have an eye for asthetic (phenotyipic) traits that signal something about the environmental and sexual fitness of their mate will have hearty offspring. For example it is possible that Bower birds who make the 'prettiest' nests are great scavengers in general, a trait that can also be used to collect food for their children.
Further, I doubt it has much to do with the male Bower "respecting the female's priorities and decisions about how to pursue them". The male that fails an attempt to court a potential mate is not thinking "well dang, if i dont respect her for not appriciating my nest. After all it was a half-ass attempt and dont i know it".
It is probably thinking at most, when she flys away - 'do not follow; waste of energy; reengage collecting red bobbles and find worm'
Lastly I think 'oddity' is being interpreted as 'beauty'; an animal might have something unique going on - maybe some allele that codes for a protein variant resulting in some funky red spots on its feathers; more importantly that same protein variant confers some pathogenic immunity. Now, a female bird that chooses this mate might also have a genetic predisposition that makes her more attracted to that red spotty hairdo. Two important things happen here. First these two will have offspring that probably will, if female, like those red spots, or if male, have those red spots (and the immunity); and secondly there is a phenotype - 'an odd visual asthetic' - that can be used to indicate what this birds genes are (specifically that it has this good immunity allele). Simply having the immunity allele would make it more fit, but the females would have no way of knowing. Having a phenotype that indicates something to the female will in my estimation likely increase the rate at which this allele proliferate since these beautiful red spots confer a nice environmental adaptation