Most of these altcoins are upgraded on the basis of Bitcoin. The foundation is from Bitcoin, so I think it is difficult for other altcoins to surpass Bitcoin unless their founders have something new, from history. Look, almost every time Bitcoin rises, many altcoins also rise, but when Bitcoin falls sharply, no altcoin is immune, so they cannot affect Bitcoin, but Bitcoin The currency is guiding and influencing them.
Bitcoin as we know is the major crypto coin that have existed for long and have gotten the heart of many investors to have believe in Bitcoin which have triggered the so call altcoins that are coming out of the market now. I don't think there would be any effect if the market is full of plenty of altcoins which will also contribute to the market cap of crypto making it gigantic and substantial for anyone to select from.
Since every cryptocurrency are attached to the movement of Bitcoin, then I don't think there is any way altcoins could surpass the price of Bitcoin which is impossible for me to think of. I have seen coin which was pumped up to $40k but still fell after it was pumped which is why it is rare for any altcoin to compete with Bitcoin.