In our position we're only hiring for in person roles, so location/authorization is a must have.
But in regards to US/EU remote, I imagine the EU candidates come with slightly higher overhead (different payroll processing, employment regulations, time zones, etc). Which makes it easier to adopt a US only approach.
In Europe, what we do is usually: if the person lives in the same country as one of our business entities, they get hired directly as an employee. If they live in a country where the company does not have a business presence, they get hired through an EOR or as a contractor.
But in regards to US/EU remote, I imagine the EU candidates come with slightly higher overhead (different payroll processing, employment regulations, time zones, etc). Which makes it easier to adopt a US only approach.