Well, afaik English used to have 3 genders for nouns, and it died out everywhere but for third person pronouns.

There are some languages that don't have gender for pronouns, even.

Or some languages that have 2 genders for most things but 3 genders for pronouns (eg. Spanish distinguishes between este and esto because Latin distinguished between iste and istud, but most masculine/neuter contrasts of -us vs. -um did not survive their final consonants no longer being pronounced. Whether or not a language retains such a distinction can appear highly coincidental in the face of such seemingly unrelated phonetic changes.)