Declarative configuration of services and the rest of the entire system, and everything that brings with it.

• Want to test some new service, or make changes to an existing one, but don't know if you want to keep it? Sure, just temporarily switch to the new configuration, you can always switch back to the old one and everything will be back as it was.
• Have multiple servers and want to share configuration between them? Absolutely, just import the same file from both. I have a git repo storing configurations for 10 machines and a huge part of it is shared configuration.
• Want to use one service's endpoint (such as a socket path) in another? Sure, just use the socket path configuration option for the first service in the configuration for the second, such as here. This works since everything is a single tree of options which all the service configuration files are then generated from, so interpolate stuff as you wish.
• Checks for configuration correctness during build of the system (NixOS options are type checked during evaluation, and then during the actual system build there's more checks, like nginx config has to succeed nginx -t, otherwise the system build fails and you can't switch to it)
• Want to spin up a VM to test changes before putting it on the actual target? There's a builtin command (nixos-rebuild build-vm) that makes a script that starts a QEMU VM with your configuration running in it. It's as fast as building the real system, so a couple seconds if you're making small changes.
• Setting up services is also often as easy as putting services.foo.enable = true; in your configuration. And, if you remove that line, the service is gone, so you're never left with "the random package or file you installed once to test something and has been forgotten about". That's the biggest thing it has over any kind of imperative solution IMO.

I feel like even if I want to distro hop again and end up putting something else on my desktop, NixOS is going to stay on my servers indefinitely. It's pretty much a perfect fit for servers.

It isn't, it's just different. I use NixOS because of stupid easy rollbacks, which is great for experimenting in production, and its declarative nature, which is great in a server setting.

Everything is declared, from packages to configuration, and then I can put it in a git repo locked to versions. If something breaks on updates, you have free rollbacks. Which means you can't screw up too much. Also it has almost all the software.