My first cat was like this.

My current cat (the third one I've had) prefers riding on my shoulders at every opportunity but my first cat enjoyed riding on top of my head until she got too fat to do so. She was very small for the first two years of her life. I just got used to wearing my winter hat indoors. Once she got too big for that my first cat preferred being carried in one of my arms upside down with her belly to the sky so I could rub her belly while walking but my third cat hates that and would rather have her face tucked directly into my armpit. Cats are weird sometimes.