1. Nonces large enough that you can safely use random nonces (XSalsa being the best example).
2. Stateful nonces, such as in systems where the nonce is tied to another protocol, or recorded in non-volatile storage.
3. NMR systems where the nonce isn't necessarily large enough to safely use randomly, but the system doesn't fail catastrophically on the rare occasions they collide.
If you're trying to do cryptography on systems with no functioning random number generator, my presumption is you have bigger problems than which AEAD you're using.
I don't have much of a stake in this story. To the extent I do, I guess what I'm here to say is:
* "Performance" and "overhead" aren't good reasons to use a smaller nonce with an AEAD.
* FIPS is bad, and a requirement to be FIPS-compliant will ultimately harm the security of a cryptosystem.
That's it.
You will better answers on Crypto Stack Exchange than on HN, though.