No, they aren't part of EIG...I stand corrected.
Have had experiencing with transferring. Have a lot of clients who we have transferred over from DH. Everything has to be done manually, which is a little bit of a pain. If something were to happen to your account, you couldn't take your own backup and move to a different host, for example. Where with cPanel, you just take your own backup and move around whenever you want very easily.