While a statement in the brief that certainly leaves a lot of details omitted, you are of course correct; as the main gist is the same as yours; their cultural production was pitiful. Romans admired the Greeks when it came to culture, and adopted as much as they could. Incorporating other culture's gods into their own pantheon was a common occurrence for Romans, they were not afraid of other cultures.
There is still some historical debate over whether the Romans who founded Rome were actually Greeks (which they were according to their own legend), that simply adopted the local language from the local Latins, and then conquered them. Or whether they were their own unique tribe in central Italy, and not a foreign invader. I am honestly not sure what the historical consensus is these days.
Kind of embarrassing that I confused Trojans with Greeks for a brief moment there. Since the Roman legend of descending from Trojans is about making them distinct from the Greeks, yet having a prestigious origin story. Not sure whether it is actually true.
There is still some historical debate over whether the Romans who founded Rome were actually Greeks (which they were according to their own legend), that simply adopted the local language from the local Latins, and then conquered them. Or whether they were their own unique tribe in central Italy, and not a foreign invader. I am honestly not sure what the historical consensus is these days.