> Presumably any and every religious tradition on slaughter is better than max-capitalism factory farming style?

It's really not. You're mixing two things, "max-capitalism factory farming" alludes to how the animal is treated while it's alive, e.g. caged hens vs free-range hens, while what we're talking about here is animal suffering via religious ritual slaughter.

Kosher and halal slaughter are not animal-friendly. They mandate cutting the animal's throat but preserving its spinal cord so it feels every possible pain in its last moments alive as the blood drains out.

Stunning it before death and/or putting a bolt through its brain would be a lot more humane, but those methods didn't exist when those religions came up their rules, so of course not one iota of progress can be added.

Read more about it:

https://en.wikipedia.org/wiki/Dhabihah

https://en.wikipedia.org/wiki/Shechita

https://en.wikipedia.org/wiki/Legal_aspects_of_ritual_slaugh...

https://en.wikipedia.org/wiki/Electronarcosis

https://en.wikipedia.org/wiki/Captive_bolt_pistol

You'll see that authorities in e.g. the UK have been asked to regulate kosher/halal butchers, require them to at least stun the animal before doing their ritual slaughter... and the authorities chose not to, and let them keep their religious exemption to animal cruelty laws. Kosher and halal slaughterers can choose to stun the animal first, which would be humane, but they don't have to.