Does pixel binning reduce noise better than software filtering?

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By taking groups of 2X2 pixels, are you doing anything more than low pass filtering the resulting image from a guide camera? It strikes me that a more sophisticated filter in the processing of the full image would / could improve SNR even more than a simple 'top hat' filter. Is the reason it is popular that it can be achieved with simple 'wiring' inside the camera?
 
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