What you dont seem to understand, its not easy to look at a beam and say that its the same beam profile. It is entirely possible that One light has SLIGHTLY more throw than another, and increases the hotspot brightness. Crenshaw
Yes, it is possible. But, that is NOT what is happening here.
It is possible, even "only" perceptually, to see differences in both brightness and beam pattern as long as they are large enough. The ease with which such a distinction can be made is directly based on the size of the difference between the two stimuli. This is a basic law of all perception, Stephens' Law, as I mention above. It's one of the first things you learn about in any introductory sensory perception class; it's one of the first things I teach in the sensory perception class I teach at my university. This is a fact, not my opinion. Decades of scientific research in visual perception have repeatedly demonstrated this relationship.
The bottom line is that I see no discernible difference between the two lights in their hotspot, and a slight difference in the size of the spill beam, with the QAA2 being larger than the one from my Fenix. And, I have done this by literally placing them side by side so they are touching and projecting on an untextured, flat, white surface. And no, what I see is not because the beams are slightly offset or because I have angled them. And that is the point, I DO see a difference, despite you claiming that I don't, and also in spite of the fact that you have no idea what the content or quality of my personal perceptual experience is.
Now, my QAA2 at the advertised output of 70 lumens clearly outshines my L1Tv2 with an advertised output of 98 lumens. Again, I see this when I directly overlap their beams as closely as is physically possible. Given that my QAA2 has a larger spill beam, it is simple math to conclude that if its actual output in lumens was lower than my Fenix, then the hotspot on the QAA2 should be
dimmer than that of the Fenix, but the opposite is the case. Thus, it cannot be the case that the advertised lumens for my Fenix are out the front.
Its not possible for someone to objectively define in an absolute manner such small differences. You need a light meter, and either ceiling bounce, or light box because it give your hard data. Whats the use in measureing "perceived" output?
Crenshaw
It is not possible for anyone to "objectively" define ANYTHING in an "absolute" manner. First, because any and all stimuli received by all the perceptual systems must be transduced through the neural receptors for that sensory modality. In vision these are rods and cones, in audition they are the hair cells in the Organ of Corti on the basilar membrane of the cochlea. (I could recite more, but I've made the point.) Because of the nature of the way neurons convert the stimulation they receive into action potentials, no perceptual system is capable in the slightest of perceiving the "absolute" intensity of any stimulus.
You are also clearly ignoring that when perceptual differences are perceived, it must be the case that the difference in the intensity of the stimuli are large enough to allow that difference to be noticed. This follows from what I've stated above on Stephens' Law. The actual "objective" amount involved is irrelevant, what is important is that the difference limen has been exceeded. Further, it's irrelevant to judging perceptual differences because the amount of "objective" difference changes as a function of the intensity of the stimuli. Stronger stimuli require larger differences for an observer to experience a perceptual difference. Weaker stimuli only need smaller changes, and this relationship is a power function... in other words, the amount of change required eventually gets too great to be possible.
Please read my post above on Stephens' Law and the perceptual difference Limen; you clearly have not bothered to do so.