I made this and it tastes very "eggy" for my liking - any way to cut down on that egg flavor, or did I do something wrong?

I agree with hardlikearmor, the "eggy" flavor comes from the egg white where most of the sulfur is, I would reduce the number of whole eggs and increase the number of yolks. If you go all yolk though it might need more lemon flavor to help cut the richness, maybe add some finely grated zest.

I've not made it (yet), but typically prefer all-yolk lemon curd for that very reason. You could tinker with the recipe by cutting the number of whole eggs and increasing the number of yolks. A large egg (no shell) weighs about 50 grams and a large egg yolk weighs about 19 grams - so essentially 2.5 yolks = 1 egg by weight.