Altcoins value can spike during the bull market. I've seen it several times and even shitcoins can experience a massive growth during the bull market if they are align with the current trend. One example of this is play to earn tokens last bull market. So many low quality games that produced their own token really sky rocket even if the product quality is so bad and same case with the NFT arts
potential altcoins will naturally pump during bull run but if its come to shitcoins, most if those don't pump. Handred of shitcoins still dying on my wallet, i did notice only one or two get pump during bull run cause them want to earn money again with create hype by providing liquidity and rest of shitcoins owner just move on with new token to scam people. Another way to pump Shitcoins in bullrun is its new trending, otherwise people won't buy old shitcoins
Most of those shitcoins were just being ignored by holders and don't really try to attempt to interact with it because of being low valued. If there's a miracle that the shitcoin you have had its price pumped, I think it's the time for you to sell that because most likely it will never pump again, maybe some people try to pump it for some reason which gives you a chance to sell. Shitcoins are just built and die, no purpose of being a long term project whatsoever. Those tokens that has a potential is a different thing since there are real supporters and holders of the coin which makes the coin alive and being traded even if its a bear season.