> The airport is international - any airport of any size is
If there's no Customs and Immigration services, then it's not really an international airport - you cannot legally fly from a foreign airport and land in a local airport that doesn't have those services in the USA and likely other countries.
Nothing you said contradicts what I said.Pretty much all airports with commercial service are international.
Note that being international doesn't mean someone sane would fly into the airport international. There are no regular international flights, but is an office for them and if you schedule in advance someone will be there when you arrive internationally. If you don't schedule in advance you might have to wait in the airport for a day for someone to arrive and process you. Even if you schedule in advance expect delays as unlike a hub they don't really have either a system or the experience to process you quickly.
If there's no Customs and Immigration services, then it's not really an international airport - you cannot legally fly from a foreign airport and land in a local airport that doesn't have those services in the USA and likely other countries.
Source: pilot