That all depends on whether a smaller firm has the resources to invest.
But don't let that hinder your argument, Mr. Keynes.
So we're into some philosophy here, now lets look at actual practice.
During the post-war years, the middle class was growing and burgeoning, SOL was rising. Taxes on "The Rich" were higher, far far higher than they have been in the last 10 years. Our economy was unmatched on the world stage, concrete and stable. Recessions were small and short (relatively), and the government's deficits were small (relatively).
Now, 30 years of slashing taxes and the government "Getting out of the way" of industry. Worst recession since pre-FDR, poverty growing, chasm between rich and poor rising, SOL falling.
Your argument: "Cut taxes! Get the government out of the way!" In other words, we did it, but we didn't do it long enough or intensely enough?
C'mon man. Get real.