Since this is CYC, I don't mind being offtopic a little bit more.
The problem is that you're using arguments inconsistently, so it's impossible to understand what your point is. For example, you say that you don't care about winrate, but then you try to compare StS and DCSS winstreaks. You say that "luck allows you to avoid enemies", but then you say that "luck means finding the correct item". You say that birds fight
requires AoE damage; when I show that it doesn't actually require AoE damage, you don't acknowledge my point, or the fact that you said it, but move on to something else.
You are correct in the sense of: you need luck to find a very particular combination of items, which you call a "build". But you put together a toolkit to solve a problem, and there are mutiple toolkits to deal with any problem. Getting any particular combination obviously involves luck. But you can usually find
some way -- this doesn't involve luck (mostly).
If you want to deal with birds, it's good to have AoE damage like Immolate or Whirlwind. But that's just a specific way to solve the problem. Here is an incomplete list of ways to fight birds (I have used all of them in my runs). I add some notes where appropriate:
Frontloaded AoE:
* Cards: Immolate, Whirlwind, Die Die Die, Dagger Spray.
* Relics: Mercury Hourglass, Charon's Ashes, Letter Opener.
* Consumables: Explosive pot.
Scaling Aoe:
* Cards: Noxious fumes, Thousand cuts, Combust, Crippling Cloud
* Relics: Funnel, Stone Calendar
Single target:
* Cards: Attack cards like Skewer and Fiend Fire can knock down birds. So can stuff which hits multiple times like Glass Knife and Twin Strike. Zero-cost attacks like Anger and Shivs are good. Also, you can deal non-attack damage (which is not halved on flying enemies), like poison or using Juggernaut.
* Relics: Tingsha can deal non-attack damage. The Boot is also good because it increases the attack damage. Ninja scroll.
* Consumables: Fire pot can kill birds because it's non-attack damage and birds have low HP. Cunning potion gives you Shivs+ which can knock down birds.
Passive attacks:
* Many relics. Some cards like Caltrops, Flame barrier. Potions like thorns.
Damage Mitigation:
* Cards: Crippling Cloud, Intimidate, Piercing wail, Malaise, Disarm, Block cards, Wraith form.
* Relics: Self forming clay, Tungsten rod, Torii, Lizard Tail.
* Consumables: Block potion, Intangible potion, Regen potion, Blood potion, Fairy in a bottle.