Every situation calls for a different battery consideration.
THIS may be the big take-away of this entire thread!
Like Andy, I have been a big fan of rechargeables now for many years.
But I absolutely cannot exclusively use them.
Over the course of a year, I am using rechargeables for about half my applications.
One issue I didn't see mentioned was the fact that some specific makes or models of cams will only work properly with a particular battery (rechargeable, alkaline, or lithium).
For example, the Browning Dark Ops simply does not work well with rechargeables, but is a fantastic cam when loaded with lithiums.
Another issue is both extremely cold and extremely hot weather.
Alkaline batteries become worthless in extreme cold.
I do not use them at all in any cam after October, or before March.
I do use them some between March & October.
Rechargeables can be bad in extreme hot weather, such as when a cam is in direct sunlight during the summer.
Lithiums perform the best, and longest, across the spectrum.
Surprisingly, in many circumstances, using lithiums can actually cost you less money over time because you can go longer between servicing cams. This is especially the case when you would otherwise make special trips and use lots of gas.
That said, there is one problem with lithiums that hasn't yet to my knowledge been overcome:
Lithiums do not work with the battery meters of most cams.
The meter will simply say 100% ongoing, then completely fail without warning.
Currently, all my cell cams are loaded with lithiums.
About half my non-cell cams are currenlty loaded with rechargeables,
while the other half of non-cells are loaded with lithiums.
Like Andy says, every situation calls for a different battery consideration.