Belz...
Fiend God
My experiences can be broken down into combinations of elementary subjective qualities such as "blue", "cold", "sweet", "bright", "rough", etc.
No, they can't. Each memory is a composite of all of the "qualities" that were part of the original event. You can't divide them into "components". That's one of the reasons why memory is associative. It's not a big database where you can search for "cold".
Its those basic subjective qualities brought together into an experience at any given time that we're referring to as "qualia".
What about "square root" ? Is that a qualia, too ? Sure, it's easy to call qualia those things you can easily see, but what about abstract concepts ?
"Qualia" isn't a postulated hypothetical but a categorical label of for an indisputable given: We experience and our experiences can be reduced to combinations of subjective qualities. Period. Its that simple.
Your say-so doesn't make it true.