Comment by rsync

"They do not have such moral responsibility. Their responsibilities are defined by laws and their T&Cs ..."

You have this backwards.

They do not have such legal responsibility - and you are correct that their legal responsibilities are defined by laws, T&C, etc.

However it is for them, not you, to define their moral responsibility.

I believe that if you run (something like a safe deposit box) you have a moral responsibility to (make human decisions about burning the contents).