Yes, but when you connect your phone to a Nebula network, and go to http://media-server in your browser, the DNS won't resolve it to your desired node, because the phone client (same on desktop) didn't update DNS of the phone, so you'll have to use node's IP address.
That's what I've read (when evaluating Nebula), at least.
It doesn't automatically update, that's true. But I think the typical way to deal with this is to have a nebula subdomain. www.nebula.example.com instead of www.example.com.
When your nodes are not very numerous, and their IPs are statically assigned, you can just have them in a hosts file, or even served by your normal name server if you're using a split-horizon configuration.
That's what I've read (when evaluating Nebula), at least.