Fortunately admins are not unreasonable and don't base their decisions on praises but on actual merits, so most servers run Debian rather than Arch (which is an interesting distro for other usage cases).
I used Arch on my laptop (primarily used for development) for several years. It mostly worked great and I always had access to the newest whatever with a minimum of hassle. I don't have many complaints, but occasionally after an update something critical would stop working.
I'm on Solus now and, so far, it's been pretty great. :-)
Rolling release is great for technically competent users to install on their workstations, but why would you ever want a rolling release on a production server?