Thanks for the answers. I guess that was not clear from my post, but I do not want to expose anything to the internet. All I want to do is tidy up the urls to the services for clarity. I have no issue with installing Tailscale on every device I want to access my services with. I can currently access any service just fine by doing “tailscaleIP:PortOfService”, but that is kind of unpractical. So by using my domain and Cloudflare DNS I changed it to “mydomain.com:PortOfService” which is already better, but means I have to look up what port the service I need uses. Like I said in my post I’d ideally like “nameOfService.mydomain.com”, no ports. And yes I realize this is purely for convenience/aesthetic reasons. Apologies if my words are not clear enough.
Well, it’s also interesting for non native speakers who never thought about it, or just didn’t make the connection. I always assumed that was the reason for the term, but it’s nice to have confirmation.