>In your original post, though, you seemed to be entirely dismissing the option of pronouncing the word according to an English approximation of its native pronunciation,

When a pronunciation is already widespread, yes. "Axolotl" is not some new word; lots of people know the animal and call it "aksolotl". If we were talking about, say, some obscure Chinese village that suddenly became very relevant in the English-speaking world, I would not insist to pronounce the pinyin spelling of its name as if it was an English word.