ICOs, yes. Crypros, yes. Bitcoin? Not necessarily. When the others do crash, Bitcoin is just going to become even more valuable. It has the advantage of being the first and the established one (and specifically less manipulated than Ether over the ICO craze)
Isn't the price of Bitcoin also heavily dependent on the price of other crypto currencies in the market though? I don't understand how a majority of the market can go down while Bitcoin is the lone survivor.