I dont think crypto market will survive without bitcoin. Bitcoin was the coin which made crypto market and you can see the dominance of it. If it vanishes then I dont think any other coin will survive.
It's impossible for the crypto market without bitcoin, because bitcoin is "king of crypto". In addition to the first time it was made, the most expensive price too. Cryptocurrency became popular because of the bitcoin behavior that made many people become millionaires, when the price soared to near $ 20,000 in December 2017.