I'm assuming that first sentence is pointing out a negative association, rather than an intake greater than the slightly confusingly worded 'up to <1 egg a day' line.
Later they write:
> Lacking participants with consumption of more than one egg per day restricted us to assess the association between higher egg consumption (>1 egg/day) and the risk of CVD; but the usual amount of the highest frequency level in the present study was approximate to the recommended amount of the guidelines (0.76 egg vs 0.8–1.0 egg), indicating that adherence to the dietary guidelines with regard to egg consumption could result in a lower risk of CVD.
As someone who regularly has 2-3 eggs a day, I'm much more interested in risks - and indeed whether there are even greater benefits - associated with higher consumption rates.
Eggs are a fantastic food source. Even herbivores will often deign to eat them, albeit opportunistically.