If something NEEDs to be said on the AAA package then "semi-regulated" is the most straightforward, easy thing to say. The blurb on the web site makes it sound like if you have a dead battery, and you shut off the light for a few minutes, then turn it back on, you'll get full sun-mode again for a while. And of course that doesn't really happen. Calling anything a "mode" implies a distinct function that the AAA does not achieve. Any battery-powered device that is regulated has to fall out of regulation eventually, so just saying "semi-regulated" is what I vote for. Everybody I know who has read about the sun and mood modes expects two distinct brightnesses for set periods of time.
The new LS is a different animal, of course. Not only does it seem to almost snap into mood mode, but it can perform some fun flickering during that "snap." This is one of the differences between fully regulated and semi-regluated lights I suppose.