Sure but cars replaced horse ownership 1-1. The thing that's high is personal transportation. If whatever you propose as an alternative doesn't confer the benefits of personal transportation then adoption is likely to be quite low. Ride services took off even though busses were already there because it was personal transportation for hire.
Even in countries that don't have the structural problems the US has that lead to cars you still see personal transportation, be it vehicles or motorized bikes, thriving and the preferred means of travel.
It was not a 1-1 replacement. The rate of private horse ownership was not nearly so high back in the day as the rate of private automobile ownership is today. Today in the United States there are 284 million registered vehicles. Almost one car for every person. The American horse population peaked at 25 million in 1920, when the human population was at 102 million.
People also used oxen and mules for personal transport (we don't even have numbers for these and the equine count is probably less than accurate as well), back when the population was less than 70 million (and couples had upwards of 8 or 9 children frequently, so much of the population was younger) before mass migration at the turn of the century (itself made possible by advances in transportation with steam engines in use at sea and by rail). By 1920 cars were already commonplace, but either way, most of the population was doing subsistence farming in the late 1800s and went to town maybe once or twice a month for supplies. We were much poorer before cars, and raising and maintaining a horse requires land and resources.
You can see SF in 1906 as cars started to take the place of horse and buggy: https://www.youtube.com/watch?v=sHkc83XA2dY. The early automobiles even fit the same profile as a buggy.
