The opposite. If they went down no one would be able to view a status page.
It's actually best practice NOT to host your site on your own network.
Just like you should not use an email address @ the same domain you are registering. If your domain had a problem they could not email you at that domain.
Name-servers? Yeah, we need to change that, but dreamhost was simply the first register we used for the site so we kept it the same. We'll be switching to the same nameservers as our rdns host soon.
I basically quit using Dreamhost for any hosting-related activities other than DNS a long time ago. Even though my shared account is old and so it supposedly has unlimited everything, it's throttled to like 300k (I assume all shared plans are). Also not worth it in the age of the $5/mo VPS.
I flirted with Hover as a registrar for a few names but didn't like it either.
I've started using Route53 for all DNS-related services, including name registration, and I'm happy with it. Wish I didn't have to pay the registration fee again to move all of my domains over to Route53 or I'd be off DH completely by now.
I'm fairly satisfied with them, but I only really use static web hosting for low traffic sites. Apparently their mailing list services go down all the time.
Compared to the hosting provider I used over a decade ago, 1and1, Dreamhost is top notch... but I'd like to hear of anything better. I still believe in shared hosting!!!
Dress it up however you like, they took $7 million that wasn't theirs.