I was refused access in a UA lounge on a US domestic sector with Gold status going on a domestic leg, so took it to be as I said, and was asked last time if I had an international connection.
So apologies, I'm wrong - although you ought to print out the Star rules to show the lounge dragon.
I spent 5 minutes arguing with a lounge dragon at EWR when going on an international flight, because her machine couldn't read my NZ card, and to be confusing I was crediting the flight to BD.
TBH you're not missing much, at any of them. So good luck, but don't worry if you get refused.