They probably mean the same thing, with the order of respectability in polite society being: nonsense, bunk, bullshit.
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samerrustomCan I say " What are you talking about James, everything you said is nonsense"?That's okay.
samerrustomCan I say "Did you hear what Miss.Rima said about the new schedule. Yes, that is bunk"This is odd because the word is normally bunkum