I'm not sure Russia at this point could respond if Turkey closed the straits, at least not effectively. Turkey is a bit more capable than Ukraine, by quite a bit, and then there is Article 5 to consider. I don't know if the Russian navy needs to transit right now anyway unless they are headed home.
Anyway, it's just one of many possibilities, not one I'd suggest at this point.
I am curious how the US expects to get military supplies to Ukraine, via Poland on the ground?