much of what you are experiencing has to do with perception and because of small samples not being a full representation of how a full screen performs... ...what you're mind often gives you is a deception of that perception.
in order to get a true gauge of two samples and their performance... you really have to compare them in a totally controlled theater... ie a theater more perfect than most of us have access to. in this pristine condition the color, hue, and saturation of the alr sample and the white sample should be barely unrecognizable... with the exception that the higher gain screen will have a higher upper level white... and vise versa the darkest colored screen visually (when unprojected) will have a deeper bottom end black during bright scenes. the only other really noticeable difference will be when flashes of light are projected such as explosions and puffs of smoke, etc, which are often hard to pick up in a screenshot. the real reason for this is simple... when light is present... the screen color itself is also picked up the eyes and invades/becomes a part of the perceived image. it's in this respect that we are often deceived... when we are drawn to what we perceive to the better brightness sample and in the reverse better black levels sample.
here's an example of two samples side by side... the color you see here is the unprojected color.
but when projected on in controlled lighting...they should be virtually unrecognizable in color, hue, and saturation...which is the mark of a good alr screen.
*notice the silverscreen sample behind the one on the left which is darker but completed wrong.
however, in ambient light... the differences are dramatically different and you might question the darker sample...which it has to be to combat ambient light and preserve color saturation...so long as it top end white level does not take a dramatic hit because the grey from the alr screen is absorbing much more than it's capable of reflecting.
for example... you decided to give us images (basically one scene) that you captured in ambient with a white screen and several alr samples for carl's arl. i don't have a controlled lighting image to go by so i can't make a relative gain comparison...nor do i have an image that let's me see what the color of the control white screen wall is vs the color of the alr samples unprojected on.
the first thing you have to recognize is that in ambient your eyes will pick on the color of the screen itself... therefore your eyes will often be drawn to the "whiter" image...even when that image is completely wrong. in other words... if you project some that should be a "grey" (ie a small amount of light) on the white screen... what your eyes see is the white of the screen punctuated by that additional small amount of light... thereby making the image that should be visually grey essentially more white,
now back to the 3rd image posted... if i am looking at the right hand side with the bottom sample covering the wall... i have to wonder what the color of the wall 'really' should be. is it supposed to nearly white (as influenced by the eyes picking up on the white wall) or is it supposed to be a medium gray (as influence by the eyes picking up on the greyness of the alr sample)... or is the truth really somewhere in between.
ideally you'd want to post several different types of screenshots to determine and rule out many of the tricks your eyes will play on you...such as gravitating to the brighter sample which may be totally wrong or gravitating the darker sample for black levels which may also be wrong because while it may be darker, it may also have a LOSS of black level detail.