You still shouldn’t go overboard with fats and sauce which is made with fat, but the advice that you shouldn’t eat more than 2-3 eggs in a week is entirely defunct now.
You can eat 2-3 eggs a day (which many people do without even knowing as eggs are used in a whole lot of things) without any medical disadvantages
The thing with cholesterol is still true though. What matters is, once a lot is fine (body can regulate that) but over a long time it is bad, promotes arteriosclerosis. So, no, the “without any medical disadvantages” bit is not true.