The dependence is only on BTC, because from the past it has been very clear that when BTC increases, ETH and other coins will also increase sharply, as well as when BTC decreases, and for now BTC is like a road in place.
The dependence of the market will not be separated from the BTC market, altcoins can only increase when the momentum is right but will not last long if the BTC market gradually declines. The BTC market can influence all altcoin price movements but not all altcoins can affect BTC market movements.