I think the DNA of the neurons is very important. The production of hormones e.g. is of course very relevant for character of a person. This is definitely not stored in the connectome. Hormones are created in the brain and different organs of the body.
The production of neurotransmitter depends on genes too and is therefore not represented by the connectome alone.
We should assume that the character of a person would change a lot if the body is exchanged. On the other hand, memory and knowledge could still be very similar.
I think the DNA of the neurons is very important. The production of hormones e.g. is of course very relevant for character of a person. This is definitely not stored in the connectome. Hormones are created in the brain and different organs of the body.
The production of neurotransmitter depends on genes too and is therefore not represented by the connectome alone.
We should assume that the character of a person would change a lot if the body is exchanged. On the other hand, memory and knowledge could still be very similar.