Well we all know the most of coin in crypto market is relying in ethereum because its altcoin so maybe theres possibility that when ethereum goes down some coin will be followed.
the price of new tokens depends on the progress of the projects standing behind these coins but not on the price of ethereum.
precisely, no matter what platform the coin is used for, actually the price also affects the pair they use, if BTC / ETH, of course it will be very influential when the primary coin goes down, but if it only has a pair with USDT of course it will very stable. How potential project can no longer guarantee prices to going up.