Despite all of Wrench's best efforts at cool detachment, he does scan the page as Dick's handwriting emerges, like he's either too curious or too impatient to wait for the man to finish his writing. In all the interrogations he's sat through in his life, this effort to get him to speak on his own behalf is certainly new. He wonders what would happen if he asked for a lawyer. Wonders when Miranda rights first became a thing.

With the doctor standing right there, Wrench doesn't expect that matters.

My vehicle's not in shape to get me too far.

Is he needling at them with that? Wrench thinks, at least, it's a response that grants some plausible deniability.