I think it would be easier if I just told you to draw a diagram and you can see for yourself.
You know how in the ML owners manual, they have a picture of the panel with straight lines beaming out from in front of it? That is a reasonable representation of the wave that shoots out of it. As long as [1] you are on one of the lines, then all the "musical information" remains intact. You can verify this for yourself. Turn off the woofer, and put your ear right next to the panel. The panel sounds the same over the entire length, right? That's what it means to be "on one of the lines".
If you step back, and then rake the panel, the lines are still hitting your ears, so the sound shouldn't change by much. This is assuming that you don't lean the panel over sooo much that the lines completely miss your head. Then all bets are off.
This is for the direct sound wave. Room acoustics also takes into account the reflections of this wave. So draw another set of lines that goes out the back of the speaker and bounces off the rear wall and then heads towards you. If you change the rake so much that in one case the reflected wave still hits your ears, and in another case it doesn't, then the sound will change a bit. Not all that much since the reflected wave is weak.
Now for the woofer. In this case, the sound propagates out in circular arcs. For a given speaker rake, one of the panel vertical lines is going to intersect one of the circular woofer arcs at your ears. If you lean the speaker back by more, [2] now you will have a different set of lines and arcs intersecting at the ear location. This is what it means to have [3] the woofer and panel go out of phase due to leaning the entire speaker. It's going to affect the frequency response and impulse response. There's probably a particular rake angle that gives the best impulse and frequency response, but I don't know what that is. You'd have to measure it, or use an active bi-amp setup with digital delay.
As for time-parity symmetry, I mean to say pOLarity. oops. [4] For the back wave, you reverse "time", and now the wave moves in a forwards direction. You ALSO have to invert polarity, and hey, now the back wave is the same as the front wave! This has deep and profound implications for the wave propagation mechanics of the speaker.