Just some information, over the weekend I tried the stacking method for noise reduction but not to remove noise, to clear streets of people and traffic.
It worked; I took 20 exposures with an intervalometer, but I don't think I need more than 8, it was too hard to stack them in PSE so I used Helicon Filter.
I say it is for information only since I pushed the lens past infinity and they are all out of focus. But you can see it worked.
The method is to use 100% alpha on the base layer, 50% on the next, 25% and so on down to 1%. Of course if there is too many people or traffic it won't work.