What is wrong with the idea of “universal” in the Universal Grammar of Chomsky? It is that what is taken as being universal is wrong. It is not the grammar in the brain that is universal, but rather it is the human experience that is universal. We all have the same set of senses and mental faculty. We all input the same kinds of sensory and perceptive experience. But we also have the same kinds of choices and decisions to make about language which do not necessarily need to be a brain-module specific to operate.
“Language is transformational” is partly correct, but it is probably at a more a general rather than being a specific mechanism that uses the properties of reality, sound and image to produce what is language. Certainly we are creatures who like to express themselves and to communicate with other creatures. We are undoubtedly social creatures.