Why do you build cars with battery and starter to this day?

Batteries are heavy, starters are heavy too. In the past, mechanical energy was needed to start combustion engines. Then you have done it comfortably electrically. At the latest with the electric injection, but you could have solved the start process differently. With a small compressed air chamber and with an automatic injection nozzle/detonation it should actually be possible to start any burner. In the many cavities in the engine housing you can store the compressed air, condensation the necessary energy for ignition injection, central locking, stand light etc. and when the engine is running provide induction loops for further consumers. Who has arguments against it?