I went back and read the source paper carefully, and realised this was a mistake on my part. The relevant study:
http://www.ncbi.nlm.nih.gov/pubmed/10217054
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After adjustment for age, smoking, and other potential CHD risk factors, we found no evidence of an overall significant association between egg consumption and risk of CHD or stroke in either men or women. The relative risks (RRs) of CHD across categories of intake were less than 1 per week (1.0), 1 per week (1.06), 2 to 4 per week (1.12), 5 to 6 per week (0.90), and > or =1 per day (1.08) (P for trend = .75) for men; and less than 1 per week (1.0), 1 per week (0.82), 2 to 4 per week (0.99), 5 to 6 per week (0.95), and > or =1 per day (0.82) (P for trend = .95) for women.
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At face value this seems to imply increased relative risk (1.08) of >=1 egg per day, and that's what I concluded. But reading the results section of the paper, I came across this:
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Because of the relatively strong correlation between consumption of eggs and bacon, we further adjusted for bacon intake. The adjusted RRs across categories of egg consumption are less than 1 per week (1.0), 1 per week (1.00), 2 to 4 per week (1.04), 5 to 6 per week (0.78), and 1 or more per day (0.93) (P for trend=.36) for men; and less than 1 per week (1.0), 1 per week (0.81), 2 to 4 per week (0.96), 5 to 6 per week (0.91), and 1 or more per day (0.78) (P for trend=.73) for women. Additional adjustment for other foods including whole milk, fish, beef as main dish, chicken, or cereal had little impact on the results.
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So it looks like 5-6 eggs/week actually resulted in the lowest relative risk of heart disease, at least when the effect of bacon is accounted for. >=1 egg/day resulted in lowered risk as well. It's quite telling that bacon raises the relative risk significantly while meats, milk, and cereals did not.
So, sorry I posted misinformation, and thanks for pointing this out. I hope this post helps elucidate the current state of research for anyone reading. I'm actually happy, because I've been eating 5 eggs/day on-and-off lately and was reluctantly considering reducing my intake. Now I get to continue eating dem eggs! (At least, one or two a day...)