I use shoe covers if it is cold enough that I am also wearing rain pants. But if I am not wearing rain pants, the rain on my legs would run down into my socks, even if I was wearing shoe covers, thus they would not accomplish much. So, the question is are you bringing rain pants?
On my last tour which ended a few weeks ago in southern USA, I brought rain pants, but it was warm enough that I chose not to wear the rain pants when I rode in rain. And I did not use the rain covers that I had for that reason.
But, on the day I took this photo several years ago, it was chilly enough that I was happy that I had rain pants and shoe covers. But that was not in USA.