Pronation is the natural movement of the foot (everyone does it). What I assume you're asking is what would happen if you used a shoe meant for over-pronators (2100 series, adrenaline, maybe beast in extreme cases).
Those shoes have medial posting at a much firmer density than the rest of the shoe, and thus doesn't compress nearly the same. What most shoe-guys will say (because it just makes sense to have an easy answer when talking to annoying customers) is that it will push you out and make you supinate (which is still pronating BTW, just under-pronating). In reality it just won't compress nearly as well and you will find yourself with a harder shoe that could lead to knee problems etc. The medial posting is there for over-pronators who would crush a neutral shoe and need that support to keep them "neutral". It's a harder shoe but the benefits for them outweigh the gain in a cushioned shoe (which they would crush pretty fast).
Bigger problems could come from wearing a so-called "motion control" shoe, as they have a straight last, which matches the contour of a flat-footed person's foot. This won't mesh with your foot at all, and would probably wind up feeling like you were barefooting on concrete all the time.
Hope that helps.