Book Time with Me doesn't work when user is logged in

I just spent an hour+ on a support call with Microsoft trying to resolve this issue to no avail. The problem is clearly with users selecting the Login option from the Bookings landing page and then logging in with a Live account (personal - non-work) rather than a work account.

When  someone logs in with a Live account they are redirected to an outlook.live.com URL where they get the page showing the "You don't have access to Bookings with Me" message.

This appears to me to be a clear bug in the redirect logic for the login page. If the users logs in with a Live account, that should be detected and they should be told to use the Anonymous option. It appears they are incorrectly being redirected to a Live URL where they are told that their Live ID doesn't have access to the Bookings with Me functionality.

The support engineer I spoke with was no help in that he simply told me that I should tell my customers not to do that (log in with a Live ID). 

This is a silly bug that makes the feature basically useless...