Are functional maps in the cortex used by the brain to carry out computations or are they just a byproduct of wiring minimization?

A key element to answer this question is to know if, when neurons from a cortical map project their axons to the dendrite of a downstream neuron, they retain any spatial order proportional to their location in the map.

For example, in the cartoon below, the four neurons from a cortical map (in black) project their axons to a downstream neuron's dendrite (in green). The relative spatial position of the synapses (black circles) is proportional to the relative position of the neuron in the map.

I would be very grateful if you could point me to any relevant paper addressing this question, in particular in the cortex of the primate (e.g. axon tracing experiments).

Thanks!

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