Why burning coins does not increase the price

So there is a common misconception in crypto - people expect prices to go high when projects burn their tokens - this rarely happens in reality though. Also many scamcoins are based on this mechanism.

However price is a simple dynamic from buys and sells. The current price just represents how high buyers would go and how low sellers would go. The available supply can shift this as well as many other psychological factors.

When the creators of a token burn it to hell, they take the coins from their own supply - A supply which was in most cases never available to the market, so this process is nearly independent from the price - it could only have an effect as the news itself.

The most important and ironic detail is, that if this supply would have hit the market (creators taking profits), the price would go down as the available supply would rise. So theses coins are not burnt to increase the price, actually they need to be burned in order for the price NOT to go down.

edit: Small clarification: I'm talking only about projects in which devs burn parts of their huge initial supply like the recent BNB burn. If a coin has a forced burn on transaction or else this of course affects the available supply and therefore the price.