This is likely true in many instances and types of problems, where you are working on novel issue, and just need to think deeply.

On the other hand, I routinely encounter simpler problems where I can metaphorically "see" a page of code in my head that just needs to be flushed out of my mind's buffer, and I'm waiting for my hands to do the typing. I'm a moderately fast typer (somewhere between 70 and a 100 wpm), and it routinely is a blocker in my flow.

So, your mileage may vary, and I don't fully buy the argument. If one is going to be doing many hours of this activity every day for their life, why not get good at this aspect also?