No, that’s ridiculous. It would imply that the frequency analysis is wildly incorrect.
However, what do we get as a result?
These things are typically used with a keyword, it makes reversing the process easier. One of the ways to solve K3 is with a keyed-columnar transposition in part of the deciphering method. The key can be numeric or a word and these can be ordered and reordered accordingly.
I used KRYPTOS as my keyword and:
Oh well. It didn’t exactly break my heart when this didn’t work. It’s not ridiculous to think that transposition plays a part in K4 but an expectation that reversing a transposition alone will reveal plaintext is misguided at best. Something was done to the text of K4 and whether it was a masking technique oranother ciphering method, it will require solving at least two cipher methods to get to the original K4 message.