I think that's oversimplified. The European Commission is the executive, not a legislative body. The EU has effectively a bicameral legislature formed by the Parliament and the Council. The Parliament has direct elections with seats apportioned to member states roughly corresponding to population. The Council represents member states directly, but they only sometimes have equal weight, because many things use qualified-majority voting (QMV) where a majority of states and represented population is required. Most things either need to pass through both of these legislatures, or if they're exclusive to the Council, are covered by QMV. The number of things covered by QMV has only grown with time and lots of these would be considered important. There are of course still some matters that require unanimity among states though.