With all due respect, and not to rain on any parades, I’d think there’s a greater degree of risk operating machinery that can severely injure limbs while being distracted, particularly if you’re walking with the mower. It might be less dangerous on a riding mower, but still a distraction.
Case in point — Last week I took a painful tumble while walking listening to satellite radio via bluetooth to my hearing aids. I’d been walking to the far right on a paved path that gets lots of bike traffic, Why? Because I couldn’t hear them coming or their called out alerts to me. Fast forward to an adjacent path and, distracted by a song and still walking to the far right, I missed my footing on the trail’s edge and went over. ipso, facto, ergo kumquat, distracted mowing may not be in your best interest.
That said, just be careful.