Nowadays with NOBODY using non-wireless phones for the landlines, even with traditional POTS working during a power outage, the wireless phones won't work :p
Note: By wireless I don't mean cellphone (Just for the very young ones out here).
The wireless phones most certainly will work. They are after all stationary cell phones and as long as the tower is up and the battery charged in the unit or it's running on your generator everything works normally.