Just a follow-up here: I changed it to use local times.
Then, I imported the iCal file to Google Calendar. The times display as correct!
Then, I exported Google calendar to GoodBarber, and the times display as correct!
So, if I go through Google Calendar first, it works. If I go straight from The Events Calendar to GoodBarber, it displays the times 4 hours behind.
GoodBarber says it’s on Tribe’s end. Now I have my doubts. Looking forward to your thoughts!