I will never understand the obsession people have with hiding their private server names. If somebody gets any access to your local network, there are plenty of ways to enumerate them, and if they can't get access, what's the big deal? I get that you may want to obfuscate your infrastructure details, but leaking infrastructure details on your server names is quite a red flag. It should really not happen. (Instead, yo…
It's a reasonable mitigation for certain environments and does leak information that makes structuring attacks easier, but it's certainly not a hard wall of any sort. The main problem for most people is articulating the realistic threat models they are trying to address and because that rarely resolves well assuming the conversation is had at all, there is little rational pushback against "everything and the kitchen sink" approaches based on whatever blog the implementer last read.
Personally I tend to advocate assuming your attacker knows everything about you except specific protected secrets (keys, passphrases, unique physical objects) and working back from there, but that's a lot of effort for organizations where security is rarely anything but a headache for a subset of managers.
You'll see similar opinions about things like port-knocking puzzles and consumer ipv4 NAT, which provide almost zero security benefit but do greatly reduce the incidence of spurious noise in logs.