I would not make a comparison with the past, since now the capitalization is completely different and there is no point in talking about a 25-fold growth (and the like).
As for institutional investors, it is in their interests to lower the price to 20 and maybe up to 10 thousand in order to collect bitcoins from weak hands

I think you are not differentiating between market manipulators/whales and institutional investors. The two have very different agendas and motivations. I really don’t see institutional investors as wanting to floor the price - quite the opposite.
Perhaps I will surprise you, but institutional investors (if we are talking about large ones) are even more cynical than whales - they do not care about the asset price at all, for them only the market share matters. Therefore, it is somewhat naive to think that the institutional investor will worry about the price (and even in the short / medium term).