BRC-20 is all about accumulating some tokens with a "well-sounding" name (or discover an unused, interesting sounding 4-character combination yourself) and then ride the wave. Use cases are non-existant in most cases. I could imagine some as game currencies though.
In the case of ASC-20, I interpret the value proposition of the tokens is more similar to tokens in the ERC-20 ecosystem: they depend heavily on tokenomics and use case, e.g. for DeFi dApps.
So I don't know if accumulating current ASC-20 tokens makes sense - it depends if an interesting project is behind it, which uses the smart contract technology in novel ways, or could replace Ethereum dApps with lower fees. (Avalanche fees aren't that low though, unfortunately.)