So you think it would be ok for Honda to show up at your house and say "You can't have this anymore we're taking it" and then take all the stuff that happens to be in the car, even if you are using it for free?
I expect that Honda will set the terms under which I can use the car, and if I don't like them, I need to buy my own car.
As for the stuff in the car, it's a poor analogy. The stuff in your Gmail account is easy to duplicate, unlike physical stuff, and it's your responsibility to back it up.
As you can guess, I don't use free email services, and I don't rely on the mail always being in the hands of a provider - I always have my own copy via IMAP. This was the normal way to do email, and the barrier to entry is low - most people doing this in those days were not tech folks.
It's just silly to demand that a company spend money to provide something to you for free, and then demand they be treated as a utility. Especially where plenty of alternatives exist.
Using your car analogy: If Honda provides me a car for free, I don't expect them to allow me to do whatever I want with the car that I don't own.