ATK% vs Crit DMG% Circlet
I'm relatively new to Genshin Impact (started about 2 months ago), Ayaka was the first 5-star character I pulled and I've loved her ever since. After reaching AR 45, I spammed the Blizzard Strayer domain using up around 35 of my saved-up fragile resin, but I never got a Crit Damage Circlet. I still run the domain every now and then, but no luck.
I did however get a really good 40 CV ATK% circlet, which got me thinking how much the damage difference btw a really good ATK% circlet and a good CD circlet is. The numbers are in the attached pictures.
For the calculations below, Ayaka, Lvl 90, is using the Amenoma Kageuchi Lvl 90 R1, Burst talent level 9. She's using the same pieces (except the circlet which changes from an ATK% with 20.2 CD to a CD circlet with 12.3 ATK%), these are my pieces, they're not the best, but I'm using them for control.
The Damage numbers are remarkably similar, the CD circlet ekes a victory with 500 damage per tick and less than 1k bloom. I'm not making this post to advocate ATK% circlets, but to say that it's actually more than viable if your substats are good. I should also note here that the same artifacts with mistsplitter reforged give a marginal edge to the ATK% circlet by a similar margin.
I'm also not sure how buffers like Shenhe, Kazuha, and VV Debuff affect the damage numbers here since they don't change Attack or CD, but are elemental damage bonuses. Please let me know if I'm wrong in my assumptions here, as I said, I am still pretty new to Genshin.