Yes, the last little while shaw webmail has become completely unreliable. It is a complete PITA when you get a confirmation code sent to your email and unable to use it because it times out by the time you can temporarily gain access before it become unreachable again.
@RMR12 wrote early morning and late night it connects.
For me, Shaw WebMail connects most of the time. Maybe, as Shaw customers check their E-mail during breakfast, the Shaw servers (WebMail & the "ID/password-authenticator") have "peak" usage.
Over a year ago, the issue was much more common. It seems like Shaw has upgraded their servers since then.