From what I understand, in an expanding universe given by $$ds^2=-dt^2+e^{2Ht}dx_{com}^2,$$ where I believe that $dx_{com}$ denotes a comoving spatial line element, the distance between a comoving observer and a point located at $x_{com}=x_c$ is constant, although the physical distance $x_{phys}=x_{com}e^{Ht}$, is growing. However, this contrasts with my understanding of a comoving observer, which is just for example a person standing on a point in space. This person, as far as I understand, perceives that galaxies, stars, and so on, is getting further from it, and therefore the distance is not constant. What is the source of my confusion?