Exactly!
While I don't currently use AutoPay, I would do consider doing it tied to a credit card.
I, however, pay a few bills electronically, like Sprint, by having charging it to my credit card.
As you stated, there is a lot more protection with a credit card, because it isn't your money directly being touched,and you also have the protection of the Zero Liability Fraud Protection.
With electronic payment or AutoPay, connected to my checking account, if something were to go wrong (even an over charge), it would be my money that I would have to fight to get back, and I wouldn't have the Zero Liability Fraud Protection.