Is it possible to be such a pronounced base subtype that your creative is completely unconscious?

[redundantoxymoron]

I have mostly the opposite experience, if anything. I'm more conscious of using Ne than Ti. I'd assumed that someone is generally unaware of "using" their base function in the same way that you're generally unaware of breathing, while using the creative is like moving a limb -- it might be easy, but it's generally not as automatic; you have to think, however briefly, when you move it.

Are people generally "aware" of when their base is being used?

That's actually what I originally thought, too, but from reading Socionics forums and looking more into theory, it seems that generally, people are more aware of the base than the creative (unless they are creative subtypes).