I actually like that type portrait, especially if it shows some aspect of the person that would be unknown in a traditional pose.
While not much of a selfie-taker, I did do a series of “environmental self-portraits” a few years ago in a photography class. I forget what the actual assignment was but the series of 13 images each featured just my hands engaged in one of my many hobbies, interests, and passions. It was a fun challenge to set up each of the shots. They are viewable here: