For people who don't live in the UK, why should they care about UK law?

NextDNS is a company not a person. The have infrastructure in the UK and presumably have UK customers, so they should care about UK law.

The US also has multiple states that have enacted similar laws.

Because the tech that is being implemented for the UK will now be available for any other country on request. Its one thing to try to force the companies to implement the solutions, its another to get your country added to the config of said implementation.

Because it's becoming the standard everywhere.