Can anyone tell me if the swirl ring and retaining cup for the ICE-25C are interchangeable with the ICE-27C?

I need to freshen up my ICE-25C and the numbers currently listed for those two parts is different than the manual. I'm guessing that Miller just eliminated the older part numbers and went with the numbers for the ICE-27C, but would like to make sure before I spend the $$$.

Any info would be greatly appreciated.