Yes, but the IP itself is not personal without the connection to other information. I do think considering IP address personal is a bit of a reach, especially given the common case of ephemeral addresses.
There's nothing wrong with receiving IP addresses on your website, though. You can log IP addresses and use them for detecting fraud and other kinds of abuse without requiring consent. Third parties can do the same, as long as they follow the law and as long as you clearly document what information you're sharing/making users share in your privacy policy.
You can't use personal information for tracking and ad purposes without consent, though, and you can't partner up with other companies that do it for you. It doesn't matter if you're tracking IP addresses, cookies, passive fingerprints, or some kind of supercookie; you need a legitimate reason or explicit consent to process that kind of information.
By this argument, isn't the same true of a physical home address?
> I do think considering IP address personal is a bit of a reach, especially given the common case of ephemeral addresses.
Except that isn't strictly "the common case". DHCP leases are often for long-ish periods of time on fixed line broadband services. The IP for my home router, for example, has been the same for weeks or months at a time.
If you can look up a user account by IP address, then the IP address is personal data.