I never really paid attention to this, but recently I have been using a VPN so I was paying closer attention to the details. My current VPN does not display this info.
But it turns out that my ISP shows a reverse DNS name for my IP address. I have a dynamic IP, but my ISP seems to keep renewing the same IP address, even if I perform a “release/renew” in my router. Without a VPN I guess this makes me uniquely identifiable to any server I connect to, anonymous or otherwise.
You can go the the home page of “Shields Up” at Gibson Research to see what you are exposing on the net. The first page shows the presence of your “Reverse DNS”, if it exists.
https://www.grc.com/x/ne.dll?bh0bkyd2
“Many Internet connection IP addresses are associated with a DNS machine name. The presence of “Reverse DNS”, which allows the machine name to be retrieved from the IP address, can represent a privacy and possible security concern for Internet consumers since it may uniquely and persistently identify your Internet account — and therefore you — and may disclose other information, such as your geographic location.”

Windows 10 Pro 22H2