It's incremental and beyond anything you can do in software. You can push software further since you have extra pixels and detail. Then you will be downsizing to print size which further concentrates pixels.
Take two images - one 12MP image and one 36MP - and produce the same size print. The 36MP image will have 3 pixels for every one on the smaller image file. The noise will be smaller and less visible with the larger file downsized.
The order of your steps are also important. You want to remove noise and then downsize.
Also keep in mind that even if you don't use the extra step of downsizing, the noise would be very small and hard to notice if you are working from a large file.