I had similarly bad experience as treetownal. 1020 started draining @ 20% per hour after ~12 days of use. The drain persisted after a hard reset and restore.
As an experiment, I uninstalled all apps, disabled everything (cell radio, WiFi, Bluetooth, NFC, location, messenger chat, chat backup, Facebook chat) and it still drained @ 20% per hour. Unreal.
Treetownal, couple of questions:
1. For how many days had you used the phone before the battery started draining this quickly?
2. When you set the phone up, did you restore apps and settings from a backup or start with nothing and manually installed apps?
3. Which chargers have you used with the phone?
FWIW, in my case battery life was OK for a day after I did another hard reset and chose not to restore from backup. However, I couldn't risk that the battery would regress again after the 14 day return window, so I returned it.