Remember, this whole thing about crypto is largely decentralized, thus, there is no single authoritative body in control of the crypto market. Although there are few centralized platforms among crypto, the market is largely influenced by the efforts and influence of the users of crypto. How well sellers and buyers treat the coins on the market affect the performance of the market.
I don't think anyone actually controls the market. Cryptocurrency market is a free market for everyone.
Yes, it is a free market and that's why sometimes big whales can control the prices for a short time, not for the longer term. Since no institute is monitoring who is buying and selling so some big whales can do market manipulations for their benefits and small investors usually get trapped on in that manipulations. But in the end, markets will correct by itself and come back to the original price.