Wire transfer is a fairly general term for electronically sending money from one person/entity to another. It doesn’t necessarily have to be an international transfer.
Usually these days “wire” does mean sending money via the banking system, but the term goes back to people sending money via Western Union telegraph 150 years ago and would still apply to that general type of money transfer . I don’t think people use the word wire for apps like Venmo though.
Wires don’t really have much in the way of fraud protection like credit cards, but Indonesian businesses seem to use wires way more than the States. If someone in the states asks for a wire for a normal one off consumer transaction, there is a reasonable chance it is a scam so that is why the OP got a little nervous. Obviously large scale transactions in the states may use wires (real estate and business to business) , but not as much for day to day travel purchases.
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Wire transfer - Wikipedia]