> Is it enough to do an informed decision?

With my layman hat, yes it is. I'll think about a trade-off between site's importance in my life, trustworthiness of the body behind the site, and my privacy.

> You do care, whether you mistyped or the network is down.

No I don't. Because it's easy to check for a typo, and then it's easy enough to investigate like layman. e.g.: Try going to Google, check for your (wireless) connection from your taskbar, every OS shows a "!" when internet is unreachable, and so on...

> but that information was already there and was thrown away.

Sometimes starting with a truncated but accurate info allows a way faster start. Precision and accuracy are different things, and accuracy is more important than precision.