Not that it has any mathematical backing. On DD
Went 324 fates in a party did not get a single atma
Went solo, camped 1-2 of the more remote fates on the respective maps generally the boss ones. Got my atmas in no more than 10 fate cycles, most of them on the 2 or 3 occurrence.
Yes I know I probably just got lucky, but i am throwing it out there if anyone else wants to try this method.