The cars were obviously faster than the typical horse transportation and I don't think anyone tried to argue against that, but laws typically restricted cars so

The cars were obviously faster than the typical horse transportation and I don't think anyone tried to argue against that, but laws typically restricted cars so they couldn't go faster than horses, at least in highly populated areas like cities. As others mentioned too, the benefit of not needing roads to go places were highlighted as a drawback of cars too. People argued that while cars might go faster, the result would be that the world would be worse off in total.