There are two types of ice. Floating ice and ice on top of land. Only the later melting will raise the sea level.
Floating Ice melting changes nothing in the ocean level as you say. Only ice on land melting can affect ocean levels and 99% of the ice on land is in two places: Greenland and Antarctica. Both are below freezing so they aren’t melting. Land subsiding is the only cause of existing sea level rise.