I had issues with 722 "dropping connection," never seen it with the Hopper or HWS. 2Wire around here is ATT UVerse or ADSL. My setup is a bit more evolved than a standard Uverse setup, but my Dad and sister have vanilla setups without issue. Probably would have heard from others if they had issues, but wouldn't be surprised if there were issues with some routers.
With the 722 it wasn't an actual connection issue, but something wrong with the Dish code thinking it was disconnected. In reality the connection was always live and the box could be pinged, http server accessed, etc. Never completely tracked it down, but when everything else works and it's only a Dish issue, have to assume Dish was at least partially at fault.