A corporation will invest in R&D to create areas that they think may be a demand for. Most of the time they are correct and there is growth, higher wages and improved lives of consumers.
So that is supply-side economics, which is just trickle-down economics by another name. No, businesses don't invest in R&D unless there is demand for them to do so. "If you built it, they will come" works in the movies for ghostly ballparks, but not in reality, where it matters. Drug companies, for instance, spend far, far more on marketing and advertising than on R&D. If they were to get a corporate tax cut, how exactly would that translate to more R&D? The answer is it won't. If it hasn't already, why would it start?