Which should be obvious, as you can log onto any PC in a network, and access your email.
Or, another way to look at it is... Disconnect your PC from the internet (unplug your lan cable). Now try to access your email.
Unless you specifically configure your PC to store your emails on your hard drive, none of them are kept there (except drafts).
Virtually everyone understands this fact so for the administration to use it as an excuse is a deliberate affront designed to slap down all those requesting the emails.
"I fart in your general direction...", says Obama.