honestly as a non-American, this would unironically make things less confusing: the largest city on that lake is Chicago and I always have to consciously remember "that city is in Illinois, but the lake it is on is called Lake Michigan".
Yup, I realize that too when looking at a map of it. Still, the only place on that lake I can name off the top of my head is Chicago and several times in my life already, my brain already went "and that's on Lake Michigan, so it's in Michiga– no, riiiiiight, it's in Illinois".
I name the lakes based on their names and not cities near them. Always have. Lake Superior. No big city. Lake Huron. Port Huron? They're massive bodies of water. Not ponds. They stand on their own.