Debian is superior for server tasks. musl is designed to optimize for smaller binaries on disk. Memory is a secondary goal, and cpu time is a non-goal. musl isn’t meant to be fast, it’s meant to be small and easily embedded.
I’ve used Alpine on servers a lot and didn’t notice any performance difference when compared to glibc in the vast majority of cases. This performance comparison even suggests that musl is quite a bit faster in some cases and in most instances it is at least as fast as glibc, which matches my experience.
musl does support DNS over TCP since version 1.2.4.