It matters if people are looking to sell the stock. Existing owners can also plummet a stock by selling even if there are no shorts.
> It doesn't matter who is shorting etc
to mean that short activity had no consequence.
What you're seeing with BYND is not directly because of the act of short-selling, but the knock-on consequences and market dynamics. In part that has to do with the fact that BYND has very few of the total shares floated, all available shares were shorted (around 50% of float), and what little organic retail demand for their shares existed was enough to move the price materially. Eventually the market cap crossed the threshold for inclusion in the Russel 2000 index, forcing ETFs tracking the Russel to buy BYND shares too. This all caused the short-sellers to get liquidated, forcing them to buy at whatever price was available. This in turn liquidated more shorts. And so on. That was a textbook short squeeze.
IMO the reason it didn't go all the way up to the moon is that brokerages were charging 140% APR to short the shares, so we were seeing consistent turnover in the short positions.
The answer to "Who would buy BYND shares for $250" is "the trader and/or index fund who has no choice." It's worth more than 25% of the companies in the S&P 500, but only has $87M in revenues and 200 employees in a warehouse in LA with a handful of pea patties.
(1) You borrow shares from your broker, and agree to return the same number of shares at some point in the future without regard for what they'll be worth then.
(2) You then immediately sell those shares on the market. Increased selling does cause downward pressure on shares as a result, in the same way that increased buying pressure pushes shares up.
(3) Eventually, you re-purchase shares for what is ideally a lower price and return them to the brokerage. Your profit (or loss) is the difference in price between when you short-sold and when you re-purchased, minus the fees your brokerage charged you to borrow the shares.
Where it gets a little messy is if the stock price goes up, you run out of margin, and your brokerage forces you to purchase shares to cover your position. Then you're buying them at whatever price you can get them. This in turn moves the stock further up -- far enough, and it may cause other short-sellers to get liquidated too, and so on. The stock may go parabolic like BYND and TLRY. This is called a short squeeze.