I think whales have not so much influence as people usually think but they do have influence.
https://news.bitcoin.com/the-65-percent-price-dip-has-made-bitcoin-whales-a-lot-more-btc/“Many of the wealthiest bitcoin addresses besides wallets that have been dormant for years have followed the same pattern. These bitcoin whales have been able to accumulate more bitcoins due to catching the highs and lows at precisely the right time. Perusing through the top 100 richest addresses shows many of them sold thousands of BTC at once between November and December 2017.”
You might think that they are colluding to make a lot of money but you might also think that those people with so many bitcoins are not idiots and know when the market is overheated and they have to sell. Fishes did the opposite, they bought in December 2017 and sold after. Another difference is that whales know that them selling a big amount influences the market.