Is Buddhist insight non-conceptual?

For me, until recently, an insight was this: having been mindful of some phenomenon that I contemplated, I then have a spontaneous idea about that phenomenon. For example, I might be contemplating suffering and then get a cognitive insight, a thought, comprehending and summarizing suffering and its nature. Is this what is meant by insight in Buddhism? I have been considering that maybe Buddhism means insight in an altogether different way. I know that in insight meditation, in vipassana, one examines specifically non-self, suffering and impermanence. But: 1. Is there such a thing in Buddhism as *general* insight, that is an insight into any type of phenomenon? 2. And as I mentioned, is there in Buddhism some other type of insight than a conceptual thought, an insight that might require mere awareness *without* thought?