Just another one of those many reminders as to why users have to avoid using the old fashion web wallets that require one to sign up using email addresses. Users should also always back up their seeds just in case the service goes offline.
Seriously--I used web wallets when I was first playing around with bitcoin years ago, but at this point I don't think anyone ought to be using them when there are much better alternatives (like Electrum). At least with software or hardware wallets you don't have to worry about situations like what OP is describing.You are right, When I first got to know about Bitcoin. The first wallets I signed up where web wallets and guess the names... Blockchain and coinbase 
Same here, with both of those--and then I learned about keeping your own private keys, which is what all newbies should be learning.