"Otherwise what I was mostly trying to suggest was that the banks anticipate the fact that the central bank won't let them double the supply of money and factor this into their loan and deposit pricing. The idea is that the current amount of deposits is not so much based on the curren[t] supply of base but the supply expected in the future." (That was from commenter HJC, with my emphasis added and one assumed typo fixed).
Now that is what I call a real and important critique of the money multiplier, as exposited in the textbooks. Because the textbooks are implicitly assuming a permanent increase in the money base, but none of them AFAIK make that assumption really explicit and talk about the difference between the current monetary base and the expected future monetary base. And it is a critique that has important real world implications, like for the US right now. And it is us Market Monetarists who should be making that critique.