I use both.
Among others that I use, the Fallkniven A2 with Laminated VG10 stainless steel and Bark River Bravo 2 with A2 carbon steel most closely duplicate the use you have identified.
The Bravo 2 is hardened to 58RC, has a 7 inch blade that is .21 inches thick at the spine. The Fallkniven A2 is hardened to 59RC, has an 8 inch blade that is .23 inches thick. Both are sharpened to convex edge.
I find the performance of both blades very similar for general camp tasks like batoning, chipping, light / medium chopping.
The VG10 is perhaps marginally more robust than the A2 carbon steel. When used for heavy tasks like batoning and having occasional contact with the ground the VG10 will micro chip a bit along the edge, the A2 steel tends to roll the edge, but will suffer very minor chipping as well.
My observation is that the edge of the A2 steel takes a bit more of a beating than the VG10 when subjected to comparable tasks. But the difference is relatively negligible.
Both blades are hardened to a high degree, but I do find the A2 steel to be perhaps a bit easier to sharpen. It seems to take a little less time to freshen up the edge after a good beating. I have no difficulty sharpening either knife so no real preference for one over the other for sharpening.
Performance and capability wise I find little difference between the two. I would say I have a slight preference for the VG10 simply because of ease of care, but I'm hard pressed to say one is better than the other based on performance.
NOTE: I didn't vote because you didn't give a choice of "A good blade is a good blade, doesn't make a cats meow of difference"
Batoning with Fallkniven A2
Batoning with Bark River Bravo 2
Comparison
After a good beating
Kevin