I didn't? Or perhaps you didn't read my blog post where at the end I say...
"PS In reality, Alice's one way function is not 'bijective'. That means that some starting words will end up at the same word. For example, when FOLIO, PIECE and WORLD are passed through Alice's one way function they all end up at THINGS. In a follow up post I'll take about this and its implications."
That property is that it's not injective. It is also ("implies") not bijective, but that's a different thing.
The "repetitive dictionary lookup" function is very useful for validating Alice's claims of solving parts of the puzzle, but imperfect for deriving the solution from a ciphertext.