[shafyy]

I'm not going to argue with you about the different definitions of public transportation, but for sure "taxi" isn't what comes to mind when someone mentions public transportation.

The point you're making is exactly the problem. The reason bus lines aren't used more is because they suck in a lot of cities. Improving the public transportation infrastucture (and no, not taxis), would solve this problem - as demonstrated in many European cities.

Here's a good video that compares the city planning of Houston to other cities, and explains why it sucks. It focuses more on cars vs. bikes, but the same basic point also applies to public transportation: https://www.youtube.com/watch?v=uxykI30fS54