Either you have the perfect commute (rent must be expensive?) or you're just not paying attention to how much time you're using in travel. Public transport takes longer than driving in virtually every possible situation. The only equalizer is if your commute were near perfect, and short you might gain a slight advantage since the driver has to park.

But if we go to robot cars we no longer have to park.

Also, places like Cairo are bad because of the human drivers. If you only allow robot cars that all goes away. The system can know where everyone is and where they are going and adjust speeds to the point of having your car end up 20cm behind the next car instead of having to use the breaks if you went 1/kmph faster for the last 200km.