Before I say this and it sounds like a slam, I use the Ben & Jerry's method and like it. That said, it is a cheat on creme anglaise. If you beat the eggs the recommended amount you get it to behave similar to creme anglaise but without the effort and risk of actually making one. Consistency wise, I find it a bit more air than a if I were to actually make one, but much easier and more consistent. A proper creme anglaise, to my taste, is better though slightly denser, but not only does it take more effort, it is easy to mess up as well. Whipping the eggs for 4 minutes on the other hand comes out just about the same each time. I tend to opt for product that I would consistently score about 90 on a 100 point scale over one that might be a 99, and next time might be a 70 plus takes more effort. But that is me. They airy vs dense is more of a personal preference and to me is fairly slight difference but others may have different results.
On the safety side, if you use pasteurized eggs, the risk of raw should about the same as cooked, and unless you are careful with temps, it is easy to have creme anglaise and some other custards not really be at temperature long enough to match pasteurized. I personally do not worry about it as I am using my own eggs so am confident my birds are clean, but if I were using commercial eggs I likely would use pasteurized. Maybe not in UK where the birds are vaccinated though.