Well if you think about it, if the left over exhaust is recycled back into the cylinders during cranking, there will be nearly no oxygen in the intake, resulting in a dodgy initial startup - hence low RPM.
If you idle before turning off the engine, the exhaust wouldnt be recycled during that time, which could explain why the engine starts quicker if you idle for a moment before shutting off the engine.
What do you mean by recycled? The k24a3 engine doesn't have exhaust gas recirculation (EGR). Only the Accord and CRV's k24a1 and k24a4 have EGR.
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