I have had every type of computing device, including pre-smart phone PDA's, and ultimately when I need to do something that isn't mediated by an "app", I will always gravitate towards doing it on an actual computer.
Now - while I do prefer a laptop as my primary machine - it is essentially a desktop, as I typically use it 90% of the time attached to either a dock at home or the office, with external screens, keyboard and mouse.
(Heck - my latest machine only gets about 75m of battery life... it is more a luggable than a "work-at-the-beach" kind of machine (i9, lots of ram, etc.) - and I am perfectly happy with that arrangement)
Most people really do not need the dedicated device, whether it's a laptop or desktop, to use the Internet they way they want to.