I highly doubt that "safer" is correct; on average, buses have fewer deaths per km traveled.
Uber drivers are generally decent drivers, but they're still not as well trained as bus drivers, they're more likely to be distracted by e.g. fiddling with the uber or map apps on their phone.
Unless you have numbers specifically about uber's fleet being significantly safer than typical drivers, your claim goes against the results of recent studies finding busses and rails safer than cars.
I believe GP equates "safer" with "no hobos, gangstas, creeps, drunkards or other people creating a nuisance for fellow travellers", and he is absolutely correct on this.
Public transport has the downside of being public, and given the rise of homelessness and the fall of noncommercial venues where e.g. youth can hang around, it's inevitable that they end up in public transport - and create a feeling of unsafeness for other users.
Uber drivers are generally decent drivers, but they're still not as well trained as bus drivers, they're more likely to be distracted by e.g. fiddling with the uber or map apps on their phone.
Unless you have numbers specifically about uber's fleet being significantly safer than typical drivers, your claim goes against the results of recent studies finding busses and rails safer than cars.