i am having the same issue. My fetch is set to manually and my email is set up as a POP3 account.
My wifes iphone 5 fetch is also set to manually but she uses AOL as her mail client.
With my phone i need to select the mail icon in order to get new mail.
My wifes phone gets instant emails. I send her an email and she receives it in less than 10 seconds without pressing a thing.
I did notice on her phone under Fetch New Data > Advanced > AOL > Select Schedule
She has options
Push
Fetch
Manual
Push is selected
It also says "If Push is not available, the Fetch schedule will be used."
In mine I dont have a Push option, only Fetch and Manual and it doesnt say the "If Push is not available..." quote
What is the deal?