>I find that a very strange statement for a supposedly conscious being to make.

I don't claim to be conscious. I am alive and awake and thinking and sensing, etc.

>Consciousness does absolutely objectively exist, or at least I can say it does for me.

This sentence appears to confuse subjective experience with objective reality.

>That its existence is not objectively measurable doesn't mean it doesn't exist

If we can think of something that is not objectively measurable what suggests that it exists objectively as opposed to it being a subjective opinion?

Can you define consciousness without invoking subjective conscious experience? You agree there is not evidence of objective existence and yet you say it objectively exists because you subjectively feel it does. Is this not self-contradictory?