This exact same thing has been and still is happening in the financial markets industry. Look at stocks for example: Publicly owned/traded companies issue stock in order to raise capital to use to operate/improve/grow their business. Once issued those stocks can be traded on the open market, i.e. purchase an ownership interest in a company, and the value of that stock (the company) depended mainly on the actual financial status of the company and the expectations of it's future success, in combination with the market itself/trends/etc. Enter the computer geeks. Over time electronic trading platforms have been created and become very efficient, and those platforms now allow easier access to the markets and give the ability to make trades faster, more often, and with more timed precision. That's where the computer programs come into play. The programs now track mainly market trends and make trading decisions based on that information, as opposed to making that trade, i.e. purchasing an ownership interest in a company, based on the value of said company. The effect: It gives the computer programmers the ability to make tons of money without having to know anything about the actual companies they're investing in. That's how it's similar to what I quoted above, and indirectly to the ammo "shortage".
Going further down the rabbit hole, it also artificially drives the value of many companies up and down, and if you switch the example and use the bond market, commodities market, etc instead of the stock market, you start to see it effecting the economy. When computer programs start messing with the bond market, it's messing with interest rates. When interest rates get out of whack (that's a financial term), the government feels compelled to intervene by messing with interest rates themselves in an effort to control the supply of money, and when that stops working they just start printing more money, and when that stops working...... You get the idea. The answer to this, of course, is government regulation right? Obviously this isn't a clear cut apples to apples comparison to the ammo shortage, but I can assure you none of us want any additional government regulation of guns or the firearms industry.
So what do we do? We let the market correct itself. It always does. In the meantime we all should just ride it out in the way that works best for our own situation. If you have money to buy ammo at higher prices along with the "need" to have it, then buy away. If you don't have the money to buy it at higher prices, then you'll have to figure something out until a correction occurs. If you do have the money to buy it, but you disagree with what's going on, then don't buy it, and you will effectively be doing your part in the market correction. And as much as I disagree with many of the things said in the video the OP posted, the guy in the video and the OP are doing their part to help correct the market. Ok, it's too late to be getting this philisophical!
