That was my initial thought, but no. All dropbox files are local. You only rely on Dropbox for synchronizing across your designated machines and backing up on Dropbox, but Dropbox going down does not restrict access to any local Dropbox folder.

As for not getting his passwords compromised: no, not more than a vpn user relies on internet to keep his data secret.

As for getting access to his data anytime: Yes, except if he has a backup.

I don't understand why you think I wont be able to access my data anytime? Dropbox synchronises the files so you have a local copy on each of your Dropbox hosts. So if Dropbox is offline, or you get disconnected from the Internet, you can still access them...

Worse case scenario is something causes the file to get deleted and that propagates to all of the other hosts and deletes their local copies. But yes, I have backups so that isn't a problem.

In what way do I rely on Dropbox for securing or accessing my login details?

My passwords are encrypted and accessible at all times, even if Dropbox is down or I lack Internet access...

So is LastPass, you just click the 'log in locally' checkbox.

I never claimed anything different...

However, to be more accurate:

"So is LastPass, unless you disable offline login, or enable the use of a Yubikey"