What could help, is if there was an easy and smooth way to pursure browsing started on the mobile on the desktop, and vice versa to continue reading a document started on the desktop on the mobile.

One very good thing that Youtube does, is to record in the history the point at which we're in a video, so that if you browse to the history on another browser on another computer, it will continue the video from the point you left it. This allows you to switch between desktop and mobile and vice-versa. Cats can be watched on mobile, but if browse to a conference with slides and you want to take notes, you definitely want a bigger screen and a desktop computer.

It's similar for the browsing (including the bookmarks, and the tabs). If they were shared smoothly, one switch more easily between the two devices.