First, thank (most) all of you for engaging in an esoteric discussion and keeping it friendly.
Second, my last post or two was, as
@tursiops said, no longer talking about definitions - they were about concepts.
To take a more practical view of it, ambient pressure (which is another way of expressing depth) is simply one term in any of the equations you use for figuring out things like "how much gas do I need" or "how long do I have at depth nnn?" So, whether you put that term on one side of the equals sign and it multiplies times the RMV or whether you put it on the other side of the equals sign and it divides the tank surface air volume doesn't matter. You get the same answer. So, which way you conceptualize it doesn't really change the mechanics of how you answer your practical dive questions. In other words, practically speaking, it doesn't change anything whether you choose to think of RMV as surface-corrected or not.
Strictly as a concept, in terms of explaining it to people who haven't already been trained and already have years of thinking of it in one specific way, it seems to me that it would make more sense (to a totally new diver) to say that your lung volume is your lung volume. It doesn't change, ever. That is easy to visualize. Explaining that the "amount" of gas (i.e. the number of molecules, if you will) that will fit in your lungs does change, based on your depth, is also easy. OW student books show the balloon at the surface and the half-sized balloon at 33'. It is, again, easy to visualize that more "amount" of gas fits in your lungs at 33' because the pressure is double which means the volume is halved. So, that big balloon that you could never inhale all of at the surface is suddenly so much smaller that yes, now you could inhale all of it at 33'.
Looking at it with a non-American-centric view, it seems like I've seen a non-trivial number of posts on SB that suggest that people sometimes struggle with how it all works in the Imperial system. And it seems like people who "grew up" on the metric system don't have as much trouble. I wonder if that isn't because the American way of doing it, as it seems to be normally taught, is that "surface correction" for tank volume is inherent to Imperial tank measurements. And, while RMV is not inherently surface-corrected, we nevertheless wrap up surface correction in RMV, instead of keeping that concept separate from RMV and keeping it strictly tied to Imperial tank volume. Meanwhile, the metric way of doing things doesn't really "internalize" the surface correction into the tank measurements. A 12l tank at 200 bar, is 2400l at 1 bar. Or 1200l at 2 bar. When that measurement is expressed that way, RMV is clearly not a surface-corrected concept and it is easy to visualize how the tank contents, the ambient pressure, and the RMV all "go together".
Or so it seems to me.
Anyway, it is clear that the horse was dead a while ago. Not to mention in the totally wrong corral. So, I'll shut up now.