My approach to a downed log is usually low range as I like using the engine for braking on some slow trails, bump the throttle to get up on the log and brake down the other side. The H3 in low range with an automatic changes the throttle response and I like the results and ability to manually shift the gears. I don't know if it is that way on a manual.
I think it is going to be one of those things with different opinions. Probably because of what you stated, conditions which cause you to want one. I have always been of the school of thought the rear was where you wanted it. That could have been that in the past, way past, that was all that was commonly available on other vehicles. In my case I use it the most when climbing steep obstacles. The H3 gets to a point the amount of ground contact VS weight comes into play and it looses traction. I can try that same hill with the rear locked and it so far has gone on up. Sometimes there is enough torque and uneven ground that the opposite front wheel from the rear in ground contact will pull up. So in my wheeling the front end is already light and may not benefit from a locker or put a lot of stress on the front end. (I'm still mindful of that)
I can see however on red rock where approaching a semi vertical rock face at first the front locker would be great. After getting the front end up and light, then the rear can push on up. Witnessed that several times in Moab.
Also for discussion sake, I was concerned about the aluminum front diff and really concerned about adding a locker. With the CI diff maybe not so much. However I still have not justified the front locker with the problems the other components seem to have. With a lot of weight on the tire remaining on the ground and locked there has to be a lot of pressure on things in the IFS setup. I pulled the trigger on an 08 knowing it did not have the front one but was concerned there may not be an 09. I also at that time found out from someone at GM that the locker could be added at a later date. Turns out they did keep making the H3 a couple years longer and with the front locker.
Here the front wheels had very little contact with the ground.
Several straight axle front ends before me did not make this steep hill with loose shale when they hit this place. I liked how the IFS followed the contour of this place and was told the fronts spun very little. I had the rear locked to make it this far and when I went off in this hole the rear pushed the front up on the next level. So I guess it is one of those never ending stories.
We were all impressed at this time in 06 how the H3 performed right out of the box as it was the first one to run most of these trails.
I still like mine enough to have traded for an 08 at the end of that model year as they were going away.