In the original Miller cycle, the supercharger was essential to overcome issues related to the backfire thru the intake manifold. It had some popularity in marine and stationary setups.
BTW Nissan developed a Miller-cycle version of its 1.2L 3-banger that fits the current generation of the Nissan Micra, which is also made in Mexico with a 1.0L 4-banger (AFAIK only for the Brazilian market) and the same 1.6L used in the current Versa sedan.