Then why not just pay for it out of taxes like Finland does? That seems cheaper overall than a license fee system with inspectors. And if your view is valid, then that means the small (<3%) of the people with no TV and no internet are getting a social benefit without paying for it.
Because if it's funded by the Government then it becomes a Government TV station. Using a 'BBC' method where there is a law requiring the license fee to be paid and allows for a third party to collect it and deliver the money direct to the broadcaster. This design can loosen the influence the government has on the channel. Whether you agree with the outcome or not, the idea is that the BBC's of this world are not government spokes-channels.