Running in the terminal is the biggest advantage - moreover the terminal man-pages allow forward and backward search with vi-shortcuts, which makes searching them really easy and fast.
The biggest improvement the web interface offers seems to be the outline on the right. For long man pages (man bash, I'm looking at you), that could be very useful. Anyway to do that in regular man?
Moreover due to the fact that .NET is coupled with Windows, it seems to be less of a problem to be stuck with a very outdated version of the framework.
In Java I often had to write for version 4, whereas 6 was already released.