The KLR is the best compromise for sure. The lighter bike is much more versatile.
I rode one before buying the the GS it was fine. I really like the comfort on the road of the GS
The GS is pretty sweet on the road at speed and on hard packed forest service roads and gravel.
It blows in thick greasy mud and fine sand. I had to see what it would do. I've crossed the line a few times. It certainly has it limitations.
You don't want to pick it up much.