Earlier quoted context omitted.
What aspect of a fancy bus that drives in normal traffic like any other bus (or car, assuming there are not bus-only lanes) makes it any more capable of getting a person to their destination sooner? Addendum: this is a private company that technically speaking does not have to adhere to any schedule and isn't liable for various things (according to the TOS posted in this tree), so if anything you're more likely to be…
Not sure about SF, but in Toronto, the only problem is scheduling and management. Also, I won't vouch for Leap or make any assumptions about SF's transit, but if it's anything like Toronto, the only thing you need to change is scheduling. Traffic is not a problem. ONLY SCHEDULING. The problems in Toronto result in 30-60 minute waits for a bus or a streetcar in the wintertime (during -20°C weather too). Then you will…
I don't know what you think the TTC does all day, but it's not sit around and say "if only we had competition, we'd make the busses better". It may not be possible to schedule to avoid busses bunching up during peak times, if that's how traffic behaves. The only way to fix it might be to run an excess of under-utilized busses, which cuts into profit margins. Which is something a private company with higher rates might be able to do, but the TTC is limited because service has to be accessible to everyone.
The risk of a private company like this showing up is that it'll decide to focus intensively on the 20% of routes that yield 80% of profit. This bleeds the public transit service of funds needed to run less profitable services at off times that are used by people without 9-5 jobs, or people in less privileged areas. So the rich get better bus service, and no longer subsidize the service for the poor.