In response to the thread, the first day I had my 1020 it lasted 8 hours on battery saver. Initially I was pretty worried, but over the next few weeks the battery life really started to straighten out and impress me. I think it's just a case of a 'new toy'; when anyone gets anything new they use it quite a lot when they just got it. That and I think that lithium ion batteries need a good run-in too (sort of like a warm up?) before they get up to their full potential. Now I get about 14-16 hours per charge with moderate usage, and even two days on light usage. My advice is just to be patient and wait a few weeks before deciding whether it's an issue.
Also, rifle through all the settings on your phone (literally click every setting in the settings app) and tweak them to suit you - for example I don't have an Xbox, so I turned Xbox integration off. I tweaked the sync intervals for my various mail accounts too, and disabled 50% of the background tasks running. My recommendation is to just tweak everything to suit you, and the phone should work with that. If you find that you get more battery than you need realistically (like I did), then enable a few of the handy, but not necessary features like double tap to wake, LTE and Glance. Most modern-day smartphones are designed to be able to do everything the user wants within a day, and if you get to the afternoon and it's below 20% Battery Saver does a really good job of saving precious battery until the charger.