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An EU dual citizen holding dual (2 x EEA) citizenship status and 4 travel documents: 2 National IDs and 2 passports.

For form AN supporting documents he has to provide:

1. Any of these IDs?
2. One ID from each nationality?
3. The ID based on the nationality they used to obtain PR through EEA(PR) route?

If they exited and entered with different nationality travel document, would there be an issue with the exit record that HO holds, compared with actual absences?

For naturalisation you have to provide all valid passports for all countries you're a citizen of, from what I know. I wouldn't bother with the IDs unless you used them to take the LITUK test.