I absolutely would!
Hell just today I was hearing an ad from a liberal arts college in the US that is very proud of not being funded by the US government at all, including indirectly through students taking out subsidized loans.
Funding is funding. NPR accepts funding from the federal government, so it is federally funded, and there's nothing wrong with pointing that out. They are welcome to stop taking that money, in which case they would no longer be federally funded, but apparently it's worth it for them to take it. And there's nothing strange about that.
It's like, NPR often runs little disclaimers that they accept money from other organizations that they report on, so why not embrace this one too?
And again, it's always this weird thing where they keep trying to say it's such an insignificant amount of money... which fine, then if it is so little, maybe they should stop taking it so that they can have total independence from a government that they would be reporting on.
But so long as NPR and PBS accept government funding, they are main government funded. Again, not there's anything wrong with that.