Im pretty sure Nintendo has decided against a browser. Keeping a browser up to date, compatible and secure is a pretty big job these days.
Considering that the browser has been a point of ingress for hacking their devices several times and that use is minimal we won't see a full browser any time soon unless something has really changed on the management team of the switch os recently
As far as os features go, propper folders and sorting options on par with the 3DS would be higher on my list.
Don't get me wrong, personally I could see a lot of use cases for streaming video etc... But I don't think it is a realistic wish at this point.
Personally I dont need a web browser, but there are “OS luxuries” I’d like to see. That includes having the game chat features built into the Switch rather than shipping a seperate mobile app, and more focus on Bluetooth capabilities such as more scope to support concurrent devices (2x audio headsets with 2 pairs of JoyCon, for 2 player gaming on the go).