Depends on design, how it lies on you, and what its’ made of, what the edges are like, etc.
I have wide ones I don’t like and are not comfortable, and one that is.
I have narrow ones that are crazy comfortable and others that hurt.
Materials, how stiff or ‘worked in’ they are (esp leather, like a baseball glove you first buy or after years of wear), etc.
One of my thinnest straps is the one that came with the Fender Custom shop bass. It is super comfy, but, feels like baby bottom soft leather/suede.
How it attaches and hangs also makes a difference with each bass.
What I know I don’t like are the cloth material ones, as they are normally more cutting on the edges and dig in more (like the one you are using).