This is something that some companies are taking on as a product and plugging left, right and center (no PR emails, please) but not something taken up by the cloud companies themselves. As a student, I have not only university mailboxes to check, but also an array of personal accounts from Hotmail to Gmail - all used for different things - and a work account also. This makes life more complicated than it should be but it's something we have accustomed ourselves to as a necessary evil.
Though because personal accounts are very often entirely separate from work or university email accounts, there's no connection between the two, requiring a log out and log in, or a switch in programs used. Desktop applications such as Thunderbird, Windows Live Mail or Outlook have made this somewhat easier, but mobile users still have to switch between accounts.
The Generation Y see email as being "boring and outdated", when in fact it isn't. But a rethink in how we use email and specifically simplifying use for mobile users - which most students are - is something Apple is embracing, whereas Microsoft, Google and Research in Motion have yet to catch up to speed on.