I do not think so, even though the bitcoin price and the other crypto currencies are mutually sustainable, but indirectly all of them affect the crypto holders, who would prefer to invest in other crypto currencies when bitcoin prices go down and they may will come out of bitcoin when bitcoin begins to fall. but I think that seems to be very big for investors. if bitcoin fails then people will lose interest or trust in other crypto currency.
indeed everything can happen, but I think bitcoin will survive forever. bitcoin exists from a very small value and is now a huge giant. So in my opinion, people have confidence in bitcoin and hold bitcoin and believe that bitcoin will last a long time.