Microbes contribute in may ways, from causing gene expression in plants during times of stress against pathogens, or with symbiotic relationships that lead to the creation of new compounds, to populating plant cells themselves and contributing to our own microbiome as we eat or are exposed to them and the medium they're grown in.
Mittleider is considered a form of hydroponics whereby the growth medium is usually sawdust that absorbs and holds water-soluble nutrients and when given
enough sun and regular nutrient feedings plants respond like body builders do on protein shakes. There are also variations on this technique using mediums like sand. The key is a low density medium that affords
root growth through air and soluble nutrient delivery that makes for light work on the plant's behalf, but more regular work on the gardener's. It'd be wrong to say hydroponics or Mittleider's method is devoid of microbes as plant microbiome studies show otherwise, however those studies also show a difference in communities of microbes depending on growth mediums and any nutrient solutions.
There are studies showing soil heat treated to kill the vast majority of microbes, as well as sterilised seeds and grown in a sterile chamber using that soil, won't grow.
Also, of all the plant and soil microbiome studies I've read, the most diverse communities result from organic gardens that use dry, green and animal manures and involve plant polycultures of greater number than 16.