Chemical synapses are clearly necessary to the operation of Earth brains as they have been conserved omni-presently and refined and differentiated for hundreds of millions of years.
1) The synaptic gap is only on the order of ten times the size of a neurotransmitter molecule, and anchored to hold its dimension. This means the gap is a tightly-controlled busy place with dense chemistry going on. That supports the possibility that the "neural" correlate of consciousness is entirely disconnected from the neuron, and an effect of molecular goings-on in the gap. We know that some neurons correlate to consciousness and some do not, and that different neurotransmitters are used by different neuron types, and that some neural circuits produce pain and others, pleasure.
2) The actions between the neurons means there will also be electric potential swings across the gap (which also influence the closely-spaced molecules therein).
3) The scales and densities involved also suggest the possibility of multimolecular quantum effects.
For consciousness to both arise from and affect electrochemical brain activity, there must be a locus of rich enough physics and with sufficient opportunity for continued evolution.