The larger the supply, the more capital it needs to spike in value.
This is relative. Indeed a coin with large supply will need more capital to spike in value, but since the price is lower the gains are much higher. I.E. if a coin is $0.01 is easier to go 5x and get to $0.05, compared to let's say ETH which it will need to go over $1200 to make the same 5x gains. Imagine how much money you need to push ETH to 1200+.