This systematic review and meta-analysis concludes:
> Our analysis suggests that higher consumption of eggs (more than 1 egg/day) was not associated with increased risk of cardiovascular disease, but was associated with a significant reduction in risk of coronary artery disease.
That statement is technically correct. And while being technically correct is great for the fictional bureaucrats on Futurama (I really miss that show), it can also lead to click-bait headlines.
Most people will read a headline that says "The association between..." to mean that there is an association (because that is how it is typically used).
> Our analysis suggests that higher consumption of eggs (more than 1 egg/day) was not associated with increased risk of cardiovascular disease, but was associated with a significant reduction in risk of coronary artery disease.