I think gnocchi is generally understood to be a little dumpling, usually made with potato, and often served in lieu of pasta. These are apparently a different ‘Roman’ thing.
https://en.wikipedia.org/wiki/Gnocchi
If that dish were presented on any cooking competition show and called a gnocchi, the chef would be criticized for misrepresenting it.
Best (and first) gnocchi I ever had was at Café Cipriani Las Colinas- a little restaurant near Dallas in Irving, TX. It was potato gnocchi with a gorgonzola sauce. Very rich but unbelievably delicious!