Correct. Always best to use Timatic (which is run by IATA).
Plus many sites offer Free access to a search tool that take into all aspects including origin country, destination country, transit country, pax residency, etc. United’s branded version is here (and is almost certainly the backend source that agents are interpreting it from as well):
https://www.united.com/en/us/timatic...&POS=US&POS=US