No I do in fact mean public, because a properly put together pedelec bike is fairly cheap compared to even the cheapest car, and that is the primary driver for a whole lotta people when it comes to transport, especially in urban environments. Its the reason motorcycles are super popular in Europe, where owning a car is more expensive despite the lower danger.
Non-ebikes are slow, and require effort to actually pedal, which is out of reach for a lot of people. Stick a motor on it, and suddenly you can get to work in a reasonable time (sometimes faster due to having the ability to go off-road onto paths), and without putting in effort.
Price is not a factor here- motorcycles are not public transportation because they are cheap. Bicycles are not public transportation because they are yet cheaper. Personal conveyance is not public transportation.
There are several ebikes that on throttle can hit close to 50 mph, which is enough for commuting on road ways, while having a low power pedelec mode for regular bike path commuting. This is the perfect solution to public transportation, compared to any other alternative.