If you have experience in catching tuna on artificial lures please give me some input.

Two weeks ago I took my first albacore trip off San Diego. I managed to land a few nice ones but wondered if somehow I could have done better. I had noticed that most of the hook ups were made within 5 minutes after one of the trolling rods "hooked up". At that point, the captain shuts off the engine, the boat "slides" and then everyone is elbow to elbow fly-lining their live baits down the stern. Tunas are schooling fish so I guess they don't hang around at any one place for too long so it appeared that the first few angler who gets his/her bait in the water have the best chance. Here's my question:

Should I try to cast an artificial lure immediately after the trolling rod's hook-up, preferably near the same spot? After all, one of them went for the feather and I know there are more of them nearby. Anyway there were 25 other anglers on board that day and not a single one of them used artificial lures.

If you have any prior experience on this please reply.