The quark immediately comes to mind. The tactical version can easily be programmed to meet your requirement exactly, the two lowest modes are about 0.2 and 3 lumens. You can program two modes (one for head tightened all the way, one for head loosened just a bit), and it's your choice if those two modes are the same or different.
I would program the "head tight" mode to the brightness you use most (3 lumens) because it is natural to tighten things when you assemble them. The "head loose" mode could be more powerful for occasional use, like the 70 lumens setting. Or just leave it all at 3 lumens for a super simple light...
Or the quark mini, which is smaller and sweeter and with a simple UI that doesn't require programming. The low setting (which always comes on) first is about 3 lumens. You need to do a off-on twist to change modes. Easy, and yet still not something you'd do by mistake.
Or the Nitecore EZ, but that one is brighter, I think (10 lumens at the lowest setting?). I own the quark AA, quark AA^2 and mini AA, but not the Nitecore.
All of these have separate models for AA or CR123A battery. The quark also comes as a two-cell option, which gives a longer light and better run time. Some people actually prefer a longer light, easier to hold and harder to misplace in some obscure place.
I think 3 lumens is the perfect allround indoor setting. The 0.2 lumens is fine when you want a tight "light disipline" to maintain night vision, not waking up sleeping childrens or partners etc, but the 3 lumens setting is more usable to find your way, look for things and so on. In particular if your eyes aren't night adjusted, like when you come from a bright room into your dark cellar.