Yep, Calvin, that's what the "twist" means, in the context of creating the second half of the sentence that's the hook.
We're not talking about O. Henry plots as the end all...and if I hadn't been previously clear about this before, then I really flunked the "writing with intention" measure.
To be as clear as spring water, the second half of the sentence in the paradigm needs to twist on the first half of the sentence...and the use of the word "twist" is only intended to refer to the contrast that the writer has to craft.
So, here's one that doesn't twist:
This is the story about two cops who go after a killer, and kill him.
Here's one that does:
This is the story about two cops who go after a killer, only for them to discover that they've killed an innocent man.