I would think just oxygen introduction alone would be beneficial. Im under the school of stability is a good thing. If running the skimmer has an effect of the chemistry of the water then you'd want to have it run as you would later down the line. whats going to happen when you add a new element? it could scale perimeters and then affect something else.
Im not versed enough to give a simplified version of the relationship between Calcium and Alkalinity but it has to do with consumption ratio of alk is greater then calc.
There is a rabbit whole of information online and some or more science-y then others depending how much you want to know.