In the ADK's, mostly I use AM drops.
The next most often used is the Steripen.
Rarely any type of filter, including the Sawyer.
They are different animals with different purposes.
The steripen tends to higher weights, even if it is only for the extra batteries. Basically, I reserve it for short trips (up to about 5 nights.) It is basically neary instant water. I dip a .5L bottle in a cool stream, spend about 45sec's zapping it and drink. While I am drinking one down, I zap the second, if needed. Then I refill the first bottle and zap that one. In the back pack everything goes and I continue on.
The Sawyer squeeze is about the same time. Fill the dirty bladder, add the filter, drink and/or fill your bottles.
AM takes several hours to work. It's only real advantage to UL packers is size and weight. Both are critical items to going light.
When temps dip, AM drops require more time. I keep them in my pocket, anyway, so freezing isn't important. You should NEVER let the Sawyer freeze. The UV is good but batteries need to be kept in your pocket, too.
So, for cold weather, I do not bring a Sawyer. I don't head out except on day hikes in the winter, anyway. So, I don't bring AM drops, either. The Steripen is much easier to use.
In low water, a lot of the springs silt up and/or get fairly dirty. Especially in summers, lately. The Sawyer can start running poorly, even with backflushing. Using a prefilter for the Steripen sometimes doesn't work very well. The silt can be very fine and actually washes through. AM drops work better because the slight sediment is still treated. Be aware that AM drops can react with organics in mud and silt. High levels of tannins can diminish effectiveness, too. UV can fail in silty or organic particulate laden water, too.
There is no real basis to say one is better than the other. It is based more on where and when you do the most hiking. From an UL standpoint, AM drops are best. From a warm weather stand point, I think the Sawyer is the best. From a cold wether stand point, the UV is the best. From a silty water stand point . . . each has strengths and weaknesses. I *usually* use AM drops, but I don't let that blind me to using the Sawyer or Steripen as needed.
You really need both, with some AM drops picked up as needed. You should carry a backup...sheist happens. Example: I usually put a couple small bottles of AM (about 1oz) in my pocket, even if I plan on using the Steripen for drinking water.
Maintenence with the Sawyer or Steripen are about even, in my book. A split bladder can render the system nearly inoperable. If the dirty water runs down the tube to the clean....not good at all. If the light burns out on the steripen, it is inoperable. Both can ruin a trip, or, cause you to bail early.