I think it's a matter of degree. The catenary curve is stronger than a vertical curved wall. Buttresses are another tried and true way to increase strength. Given our frost depth, the amount of fill needed for insulation is a significant load. If I integrate another type of insulation (i.e. foam board), I can reduce the amount of soil covering. Because this structure will be its own independent hill, I'm not as concerned about the hydraulic pressure as I would be if it was part of a larger drainage area. It would be great to see examples that are comparable and how they perform. Given the variables with siting, materials, skill, and regional climate, it's challenging to make comparisons. When I sent questions directly to some of the pioneers in EB construction, they weren't ready to make recommendations for underground construction parameters. It's great that we have forums like this one to share our efforts and hopefully accumulate pertinent knowledge.
A flat roof would certainly be easier. I think my preference for a pitched roof is from the inherent ability to channel water away...and experience with failure of flat roofs on above ground structures. I'm not ruling a flat roof out yet.