First, and I cannot stress this part enough, I do not care one bit if my overbidding raises the prices for other people or not. Just like I don't care that I just gave someone extra influence they can go spend for things they want. Second, if something has adequate supply your scenario isn't going to happen, because there will always be people dumping stuff for low amounts. Almost 100% of my drops are posted for less a million influence, with well over 90% being posted for 1 influence, so this works both ways. Third, 2 million is not a significant sum of influence and it is a meaningless difference in the context of buying crafted enhancements.
This is already the case. If people put in the effort, they'll have extra influence sitting around too.