Also, for anyone willing to offer any more suggestions, please understand that I was hoping for MINI 1 x AA lights - the smaller the better. I love the JetBeam's easy UI on the BA lights but their 1 x AA light is a bit large for my pocket.
Ah... the problem is, if you're looking at MINI (which to mean means Quark Mini type size), your options are limited. UIs that give you more choice -- rings, intelligent buttons, even mode memory, etc. -- tend to have components that make the light a bit bigger, so it's more like "regular size AA light", not "mini AA light". And as you found out, the really mini lights have a twist-twist-twist interface that typically starts on low, or for slightly bigger you can get a click-click-click interface that also starts on low. But more on that below:
So, it puzzles me as to why so many manufacturers have this odd sequence of modes. I have a little 1 x AAA Olight which has 3 modes. I HATE it compared to the simple ONE mode iTP that it replaced. Whenever I have pulled it out of my pocket, I have NEVER needed it in low mode, yet I have to cycle through it just to get to the main purpose of carrying a light in the pocket - to have as much light as possible during hours in which humans are typically awake.
This whole conversation about "what mode should a light start on" is, in my subjective opinion only, a conversation only people who tolerate subpar user interfaces have to have (or, when I'm in less of a churlish mood, an interface that at least doesn't work at all for me personally).. If you demand a bit more in your UI, you don't have to have that conversation, because you can more easily choose your starting point. And as you found out, with the truly MINI size lights, you're kind of SOL. The next smallest light, which does not have a twist-twist-twist interface, would probably be a light with a side switch and some smarts. Although I haven't seen a pic of it next to other AA lights, my guess is that the Zebralight SC51 is smaller than most "full-sized" AA lights (though still a bit bigger than "mini") due to the side switch, but still has a smart UI. And, again from memory, I'm pretty sure it kicks butt on Eneloops, another great feature.