>High price in these kind of events rarely increases availability - after all, it takes time to increase production or ship more.
If something is an issue for just 1-2 days maybe. If it's more then it seems that should be enough to get at least some express shipments if there was profit to be made.
However, if you can expedite shipping like this, can you do it in bulk? If so, you probably don't need to raise prices by much at all. But it's also quite likely not simply a matter of pressing the conceptual "expedite" button, because the stuff needs to arrive from somewhere and if it's an unexpected spike in demand, finding a bunch of supply that's ready to ship that quickly strikes me as being unreasonably lucky. More likely, it'd take time to find alternate suppliers, and shipping sufficient quantities to make a dent will take a while.
Of course, if you're doing it for one or two items - individuals can do that themselves, and yes, it's going to be expensive, and no, it's not likely to really increase supply a lot overall.
My assumption here is that shipping in bulk is much more efficient than small-scale shipping, but takes longer to arrange and prepare. But because the costs are spread out over so many items, even if shipping costs extra, that rarely translates to significant price hikes; bulk shipping, even expensive bulk shipping, is assumed to be a fairly small slice of the overall purchase price.
If something is an issue for just 1-2 days maybe. If it's more then it seems that should be enough to get at least some express shipments if there was profit to be made.