I have made this recipe more times than I can remember. It's fantastic.
I have made a couple of changes.
Before starting I use 1 or 2 cloves of fresh garlic, blitz first, then add the other ingredients.
I personally don't like egg, so I omit that altogether. I can't say that it tastes any different, perhaps I use a little extra Parmesan.
I found the recipe was really only suitable for 2 adults so have made the following adjustments to suit our family of 2 adults 2 children.

250g pasta
600g of warm water
300 grams of cream.
And I will cook it for a little longer as per instructions for 20 minutes.

Have also used all different pasta, spaghetti, macaroni, gluten free, fettuccine, they all seem to work.

Thanks for sharing such a great easy to make meal.