I own both. I love them both. But for different reasons. The 339 is so unlike any other Panerai. You will be surprised how it wears on your wrist - so light, so unnoticeable. The assolutamente is thinner than your other straps. It's just a different experience.
The 368 is just drop dead gorgeous, but a traditional Luminor look. You have that covered with the 372. There will be other Ti destros. I don't think there will ever be another 339.
Good luck with your decision.