[lukebennett]

I have no objection to them offering Facebook/Google etc for those who wish to use them.

The problem is the lack of an alternative which is how this whole thread started - their approach allows you to choose between logging in via a third party, or logging into your email on the same device. It doesn't let you log into their website directly.

I wouldn't mind if they emailed you some kind of time-limited one time token you could enter on the other device, rather than using a conventional password. But all they supply is a lengthy link, which can only practically be opened on the device that has access to your email.