The original intent of the two chambers of congress was that the Senate would represent the state (government) itself, and the House would represent the people

The original intent of the two chambers of congress was that the Senate would represent the state (government) itself, and the House would represent the people living in the state. It wasn't until later that senators were elected by the people rather than appointed by the governor. If the electoral college was apportioned correctly and the size of the house not artificially capped, there wouldn't be any reason to compare "voting power" of low-population vs high-population states.