[consz]

You absolutely can measure "various aspects of consciousness" -- for example, "how much of the last 24h has this consciousness been awake" seems simple. So your definition seems kind of weak, could you be more precise?

Conversely, in your definition, is consciousness the only "thing" that you would describe as not being able to measure various aspects about it? Are there any other objects or concepts which you also cannot measure various aspects about? If yes, what differentiates those things from consciousness?