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there is definitely a big plus to taking more images for one, you can pick more of the best images that is you take 20 images out of that 20 you might have say 12 that are rock solid and the best 5 or 6 that are good but not great, and a few that are dud, now normally you will get a few that are decent most that are average and a few that are dud.
its this selectiveness that be advantageous, but that is just the first part. The reason why you take multiple images is to give the program/algorithm something to base its data rejection routines aka what is data and what isn't. and the reason why you run darks and flats is to get rid of hot pixels and optical defects which might land in the same position constantly and being recognised by the program as real wanted data. That is the reason why you take more and more. There is other reasons why this helps with the SNR for which Ron wodaski has already presented.
as for your question is there a scientific evidence of more data = cleaner images. mmm yes and no.
i really don't have a scientific tool to give you that aka i cannot keep the images the same as cooling plays a big part in noise reduction.
There will be others that have more advice for you.
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