The USN has mainly exercised with the Swedish Gotlands class boats & benefitted.But Swedes were early in the AIP race,but as of now you could say that they are behind the Germans & the French,who produce more widely used AIP systems.The German fuel cell based modules can go upto 15-20 days underwater,which is just HUGE.The Russians supposedly have a liquid hydrogen based system,which can go upto 10 days,though they are working on systems with thrice that endurance.
I am no expert in naval tactics, but it looks like some kind of counter to these guys will have to be developed. Maybe a back-to-the-future version of pinging, and get the dolphins and whales some earplugs.