I believe those are different things. What you describe does not sound like co-consciousness--which I think of as experiencing more than one thought process or way of perceiving the world at the same time. One is in control, or shares control with another, but there's no amnesia. What you describe sounds more like depersonalization or derealization (those are two different things, but I don't know which is which).

For me, being co-conscious is when I am aware that one of us (not me) is reacting to a trigger that brings them forward. If I were to feel my hands as not mine, I would think that's something else.

Do you know if there was something that preceded the feeling of not seeing your hands as part of you? Is the feeling constant?