Maybe it's because I have terrible and slow handwriting, or because I had a job transcribing audio interviews as a teenager, but I find it's the complete opposite for me. Writing makes me miss more because I can't keep up.
Everyone's brain works differently. My mom worked at the county court and her side gig was creating transcripts of the court case. It was always amazing to see her fingers fly as she sat with headphones and a glazed look as the words seemed to flow directly from ears to paper.