Fedec said it; the scouts reach the archers before they can do anythin', and the scouts get killed in one round regardless; whether it's down to 500k archers of 50bil archers, they cannae kill them any faster than one round, so it doesnae reduce casualties.
Anyhoo, on-topic. Here are two results for swords (I didnae have enough spare scouts left for pikes; someone else gets to do that)
Since I only had enough spare scouts for two attacks I couldnae definte it down any further. Havin' the swords at Fedecs ratio was incorrect, and allowed the scouts to pass them over and get the archers, wherein they got killed. Havin' a much higher ratio (I used 2:1) the scouts slammed into the shields relatively harmlessly.

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