I've got a verizon.net email address migrated to AOL. I've configured it for IMAP access, PUSH disabled, 10 minute sync interval. 25 messages to sync, 50 messages to cache. The inbox got loaded with 25 messages, but towards the end of the list Aqua completely missed a day (about 7 emails) and loaded 2 of the preceding day's 9 emails instead. The preceding day's #6 and #9 were the ones that got loaded, if that's important.
I've got 967 emails in the server's inbox. All marked "read". Using AquaMail Pro, version 1.10.0-403.