Well, no, you seemingly invented something out of whole cloth, because I can't really find any evidence that non-consummation makes a marriage invalid, in a sec

Well, no, you seemingly invented something out of whole cloth, because I can't really find any evidence that non-consummation makes a marriage invalid, in a secular sense: obviously I've proven the religious aspect of it. So [citation needed] for your broad brush: if you can prove otherwise then I'll stand corrected. The history of marriage, and the diversity of jurisdictions and regulation for it, is certainly a large haystack to search.