Moreover if you have a 2 factor authentication then you even can sleep by having your laptop opened throughout the night. I think online wallets with 2-FA are the safest ones and better than offline ones.
It is possible that your password as well as your email get compromised. I can sleep tight only because a thief would have to open a bank safe to get my bitcoins.
I think it is mean safe by new users is not it? of course bitcoin wallet can be said quite safe because you can provide authentication but who so doubt by many people is it bitcoin can survive in the future? because I'm sure the new users certainly have fear if bitcoin die in the middle of the street?