Yes, their theology and scriptural interpretations are influenced by their sentiment, but their sentiment is the culmination of theological pursuit. You say that their scriptural interpretations are not likely those intended by the authors of the texts. Regardless of who the authors were, or if the texts were authored at all, I say the Goswamis' sentiment, their experience, is what the text is all about. If you can arrive at this by any method, do so. Scripture is only an outline to the book of life.
Intellect is insignificant, and knowledge a small thing.
Stop thinking and let the heart come out - jnana sunya bhakti, jnana sunya bhakti. Intellect is not a suitable instrument for perceiving divinity. It takes the taste out of life, evaporating its juice. He will be conquered and imprisioned by his intellect yet think he has conquered all. We cannot say what Narada studied, nor do we know wether this statement by Narada was spoken by Narada Muni himself, or by an author who wanted to present a philosophy through a story, like Sanatana Goswami had Narada Muni say and do all kinds of things.