I don’t think so. Some of the anointed perks are extremely rare to begin with. It like they have a much lower chance to role than anything else.
For example how often do you see an Anointed Gunner - After Exiting IB 120% Splash Damage for 18 seconds perk?
Now how often do you see that on a Flakker?
Keep in mind there’s 2 Splash damage perks. 1 is general for 125% but it only last 5 seconds. The Gunner perk is significantly stronger and rarely pops up on guns with splash damage.
The same for Anointed Beastmaster Bonus Radiation Damage or Anointed Gunner Increased Shields/Health.
I farmed over 500 Mendel’s Multivitamin’s at most 15 of them were anointed. Every one that had Anointed Gunner was with the Nova Perk.