I always assumed this isn't the only source of entropy they use, but it's added to some other random generator in the computer. I've just tested it on
https://www.bitaddress.org: without using my mouse (Tab many times to be able to type in the entry field), I filled it by holding the A-button. After that, I did the same again. As expected, this produced 2 different private keys.
I agree that the website uses also another source of entropy. Otherwise, some private keys generated would eventually collide.
And different users would eventually share the same keys , as this website is very popular and new keys are generated every day