No experience of either, but have been thinking about the h2, I can't really see what the h34 offers apart from more weight probably more height, I like the way the h2 is compact , in my eyes if you go for the h34 you may aswell go for something like a z6i or similar and have the benefit of having extra mag if needed up a highseat or something. Just my view. What rifle are you putting it on?