While it all sounds cool and romantic, I doubt the Germans or the Japanese (either country as a whole) had any special nicknames for certain aircraft any more than the Allies did. Now the Japanese planes were given "code" names, single syllable names that were faster and easier to remember and say then the various actual model designations. For example while it is easy and quick to say, "109", or "190", or "110", it isn't so quick and easy to say some of the Japanese type designations like A6M, or G4M, or KI-67. So single syllable names made sense.
Sure, the idea that the Japanese called the F4U "Whistling Death", or the P-38 "Whispering Death", or the Germans call the P-38 "Der Gabelschwanz Tuefel" is enticing. But now some 60+ years after the fact it's next to impossible to actually state with any real sincerity that it is fact. The closest I've ever heard anyone actually say with any veracity at all is that some German transport pilots in the Mediterranian may have called the P-38 "Der Gabelschwanz Tuefel", at least that's what German fighter pilots supposedly said when asked about the nickname.
All that being said, what I find more amusing than anyone on the Allied side claiming that the Axis called any Allied plane any sort of nickname denoting reverence, is the continued attempts to belittle the P-38 without supporting it with real facts. But that's another arguement.