How long until they kill links to anything else?
Presumably the whole point of killing LiveMail is so that they can push ads at people.
The average inbox is full of ads anyway, but of course those are not making money for Micro$oft.
My aunt's email provider (BT) has regularly reorganised their webmail page to make more space for ads. when you are nearly 90, not being able to figure out where to click on screen is a BIG problem, and as her de-facto tech support, I had to take the flak. I gave up on webmail and installed an IMAP client, and she is happy again, because the interface is the same as it was yesterday AND there are no confusing ads taking up half the screen trying to sell her stuff she would never dream of buying (or worse, pushing malware). I am sure that most of us have relatives in the same boat. I bet few of us would willingly use a webmail interface.
I occasionally enter the webmail view of Hotmail, where I have had an account for many years. When I do, I think "OMG! It's horrible!" and get out ASAP.
So, which interface is next to go? My money's on the Hotmail plugin for Outlook, which is currently depriving them of many millions of ad pushes per day.