It seems that the “By Date Added” grouping really means “By Date Added To Library” – so when I move media around among libraries, or consolidate libraries, the affected media is re-dated and pops to the beginning (or end) of the list. I think a helpful improvement would be a (new?) grouping like “By Date Added To Server” (by whatever grouping name you wish to call it). In that way, any media added – say, a year ago – will still properly appear among its peers in its orderly sequence no matter when/if you move it around.
This may even do away with the need for the Plex Dance, which works OK but becomes rather onerous with libraries of significant size.