Bug T58028: Show Echo web notification (asking users to consider providing an email) to users who don't have an e-mail address associated with their account covers the case where they have no email at all. This is to show them a reminder (in the form of a web notification) at a particular point in time when they still haven't confirmed their email.
(From merged duplicate:)
It'd be really useful if we had an Echo notification to change/update/validate their email address if it's in a non useable state.
Not sure the best way of triggering this (maintenance script?), but it'd be useful for wikitech as labs users to have correct and useable email addresses for things like the tool labs surveys
See Also:
T58028: Show Echo web notification (asking users to consider providing an email) to users who don't have an e-mail address associated with their account
T64655: [[special:emailuser]] link in sidebar should not be hidden if sender is not emailconfirmed