I think you are underselling both modern Keynesian economists and the original writings of Keynes, and not really following these through to their logical conclusion.

Specifically, Keynes argued for driving down the rate of interest to zero permanently -- he believed this could be done in a single generation:

"On such assumptions I should guess that a properly run community equipped with modern technical resources, of which the population is not increasing rapidly, ought to be able to bring down the marginal efficiency of capital in equilibrium approximately to zero within a single generation; so that we should attain the conditions of a quasi-stationary community where change and progress would result only from changes in technique, taste, population and institutions, with the products of capital selling at a price proportioned to the labour, etc., embodied in them on just the same principles as govern the prices of consumption-goods into which capital-charges enter in an insignificant degree.

If I am right in supposing it to be comparatively easy to make capital-goods so abundant that the marginal efficiency of capital is zero, this may be the most sensible way of gradually getting rid of many of the objectionable features of capitalism." - General Theory Chapter 17

If you really follow this thread to its logical conclusion, you see an incredible arrogance and desire for state control that is a lot more than just "stimulating the economy during a recession"