I'm skipping over all the drama because this caught my attention but nobody mentioned it:
Shouldn't that be the other way around? 3-4 chickens per nesting box? Otherwise, if you had 20 chickens (not an unreasonable number), 80 nesting boxes would be a bit much (definitely an unreasonable number).
Also, it's not true that the traffic per box would be the same regardless of the total number of chickens. Chickens tend to have favorite boxes that get overused. So if all your chickens want the same box but you have 5 chickens, vs. all want the same box but you have 15 chickens, that one box will get a hell of a lot more traffic in the second case vs. the first. And it will get a lot more traffic than the other boxes in both cases.
The original post sounds well-intentioned, but a bit patronizing and the information isn't very accurate. It also doesn't add anything new since there's already a lot on the subject on BYC - on all the subjects actually (washing eggs, keeping nests/feet/coops clean, etc.)