What are all the circumstances where abilities that raise a stat when a Pokemon is knocked out don't trigger?

Question

I'm talking about abilities such as Moxie or Grim Neigh. They raise stats when Pokemon are knocked out, but under certain circumstances, they don't raise a stat. What are all the circumstances of this?

Answer 1

When a Pokémon with Moxie [or a similar ability] directly causes another Pokémon (including allies) to faint by using a damaging move, its Attack [or whatever stat the ability raises] is increased by one stage. If its Attack [or whatever stat the ability raises] is already at +6 stages, Moxie [or a similar ability] will not activate.

If a Pokémon with Moxie [or a similar ability] defeats a Pokémon with Mummy using a contact move, the Pokémon's Ability will become Mummy before Moxie [or a similar ability] has the opportunity to activate.

Generation VI onward
If the Pokémon fainting ends the battle, Moxie [or a similar ability] will not activate.

source

Comments

FIIIINE.

---

Mummy doesn't affect Grim/Chilling Neigh and As One.

---

How do you know this?

---

@J ™

> Multitype, Zen Mode, Stance Change, Schooling, Battle Bond, Power Construct, Shields Down, RKS System, Disguise, Comatose, and Mummy itself are not affected by Mummy.

https://m.bulbapedia.bulbagarden.net/wiki/Mummy_(Ability)

None of the the abilities you mentioned are on this list. :P

---

My bad, Grim/Chilling Neigh aren't.  However, As One is not affected by Mummy.

https://m.bulbapedia.bulbagarden.net/wiki/As_One_(Ability)#:~:text=As%20One%20%28Japanese%3A%20じんばいったい%20Rider%20and%20Mount%20in,either%20its%20Ice%20Rider%20or%20Shadow%20Rider%20Formes.