It's obvious when your website goes down. It's not obvious that emails aren't being delivered and you've missed something important that you'll never see.
Also, I don't agree that it's not obvious when something goes down. You don't know how I or my users check my email. If anything, I hear from people much more quickly when there's an issue with email than web!
To reply to something you said in your first comment, as someone with over a decade of experience it is my place to share my thoughts about this subject. If you want to ignore my thoughts go ahead, I could care less.. but I don't appreciate how you're acting like I'm doing something wrong.