I'm going to chime in that it depends on where you check in, and what you're checking in with. I've always checked in at West End with our 30' cat and a 9' inflatable, and never even been asked about a tender. The customs folks there are usually pretty darn nice. However, I've got a friend who didn't have such luck. Specifically, he has a 55' sport fisher and tows a 23' Mako. This year he decided to check in at Spanish Cay and had a heck of a time. After the initial problems, he decided to try and "grease the wheels" a bit and was told his $50 "tip" wasn't enough. They hit him up for the $300 for his big boat and the $150 for the Mako (3 people on the boat total). Honestly, I'm not sure if he's going back again after that. This guy is the nicest guy anybody would ever want to meet, but I think some of the Bahamians really have a dislike for "sport fisher people". So it might depend on both the boat and the port.
Pascal, I swear, he's the nicest guy I've ever met. We've spent time with them the last 2 years in the Abacos and he would never, ever, rub somebody the wrong way. Have you ever seen an issue with sport fisher boats over there? I've noticed it. Granted, some of them certainly deserve it due to their attitudes. But not all of them are like that.