If I remember correctly, EU will make chip tracking for pets mandatory by 2030 to unify laws that are currently made by individual states. France had this mandatory for over a decade.
If you want to travel within EU with your pet, you'll need a certificate for that as well.
No idea about how it is is the US but that doesn't sound crazy to register pets as they are at risk of being lost, abandonned, lacking vaccination or vets visits.