Sure, BitCoin is king in cryptocurrency
BitCoin is the leading currency in cryto curency, with the most well known bitcoin and investment, the market capitalization of BitCoin is the largest.
So Bitcoin has a big impact on Altcoin
Basically the bitcoin and other altcoin are interconnected in price value by people's mind.When the bitcoin price increase the people will think other crypto will also increase.As you said bitcoin is king of crypto world so any change in bitcoin surely affect altcoin.But some altcoins are giving more profits than bitcoin interms of percentage,so in future bitcoin will have a competitors.