and even then allowing a 3rd party to backup your emails is a very dangerous thing to do. they say that credit card is more dangerous, i say no. for credit cards you can claim fraud.
when your email gets hacked, potentially your whole digital life is gone
so yea. not necessary
Now, if you can demonstrate that this particular company has a particularly unsafe way of storing the passwords or the retrieved e-mails, then you're getting closer to having a valid point.
Part of the service they're offering is that they'll restore the contents of your mailbox in case of accidental or malicious deletion. I have
mail:/var/mail/associatedtechs.com/rob@associatedtechs.com# find . | wc -l
24846
...almost 25,000 messages in my mailbox. How do you recommend that they restore 25,000 messages to my mailbox without my account credentials?they should go think about how they can design a service securely before offering it.