I also like to use the web mail sometimes, not using the Outlook client installed on my computer and for business purposes, the web mail solution can be very great, especially if you are on a journey and have access to a shared computer or are at the airport. In such cases, accessing your email account from thousands of miles away from your home or office would give you a great feeling.
The only point coming to my mind is that why there are only a few options when you access the web mail section of your hosting account. Today with so much scripts offered by hosting packs, we should expect to have tens of solutions and interfaces to use for accessing the web mails rather than only a few options which have been online for more than a decade and still having a traditional style.