Theorically a CVT is the best transmission for a car, as it can keep the engine in the best working condition; that's why Toyota and Honda hybrids use an electric/electronic CVT transmission; all electric part of the powertrain works to keep the petrol engine in its best condition. Belt/chain CVT, and also hydraulic CVT (not used in automotive, just some bikes as Honda DN01..) drain a lot of energy to work, scratching pulleys with the belt and using hydraulic force to drive the pulleys, so sometimes CVT are more frugal than manual gearboxes, sometimes not depending from usage.