That is the saddest thing. You only really need one rooster per flock. If anyone invents a machine to sex hens whilst still in the egg they will have a lot of grateful chicken owners.
You need exactly zero roosters per flock if you're only after eggs.
That is true. Having a rooster makes it easier to introduce new hens into a flock though and raising your own hens from eggs is fun.
Same thing as male baby goats in a goat cheese operation. :/
Not even remotely similar. Goats (and cows) need to be pregnant to produce milk, which is why you inevitably end up with offspring as a by-product of milk production. Hens lay eggs regardless of whether a rooster is present, so if you get some rescue hens you can enjoy your eggs guilt-free.
Sure, but that's not the point I was making. Male goats are useless to a goat cheese farmer. Roosters are similarly ~useless to egg farmers. When chicks destined to become egg-laying hens are born, what happens to their brothers?
We'll worry about that once ALL of the rescue hens are living in our backyards. Plenty to go around for now...