Voice pitch linked to more frequent stuttering?

Voice pitch linked to more frequent stuttering? My voice pitch fluctuates a lot throughout the day, I notice when it’s deeper or raspier, I stutter significantly less. People always tell me I don’t have a high pitched voice but I think it is, idk if it’s just a mental thing, like ‘I like my voice better when it’s raspier, therefore I’m much more confident talking’ or a deeper voice is easier to fluently talk with. It’s weird to try to describe by my vocal chords feel more comfortable when it’s raspier or I talk from my diaphragm idk it’s a phenomenon I’ve been thinking about lately, and I’ve been looking at methods to get a deeper voice because of it