While the connections are important I think the individual cell behavior is also very important and that is driven by DNA. Brain cells last a lifetime and can modify their own DNA so each one ends up being unique. I do wonder how much of behavior/consciousness is encoded in the cells DNA versus the connections between the cells.
The depth of complexity and innumerable interacting variables of biology make attempts to map brain function always seem like an absurdity
Do you have a citation for the notion they can modify their own DNA? I would fairly easily believe they can modify its expression, but I’m skeptical of the idea they can modify the sequence.