Your argument boils down to: they are not taxi service, because they are ubiquitous.
There is nothing about taxi definition that would exclude ubiquitous from it. There is nothing about taxi definition that would exclude companies with easy to use apps from it etc.
I'm not arguing that they're not a taxi service.
Colloquially they definitely are, and I don't know enough about the legal definitions to have an option on that aspect. I was just pointing out their competitive advantage over local taxi companies with local apps.
There is nothing about taxi definition that would exclude ubiquitous from it. There is nothing about taxi definition that would exclude companies with easy to use apps from it etc.