If you sign using a key that also controls cryptoassets, then you're incentivized to keep the key safe and secure indefinitely. Contrast with tendency to lose GPG and SSH keys after losing interest for a few years, changing jobs, etc.
Moreover, consider key revocation. The revocation mechanisms for GPG and SSH keys are not that effective, due to impracticality of publishing your revocation in a way that really ensures subsequent verifiers are alarmed. If only there were some sort of decentralized, permissionless, globally-replicated database which verifiers could check for that information...
More generally if you have a really important signature to publish, you can mint an NFT for it or otherwise inscribe it on the blockchain. There it will live, irrefutably notarized and timestamped, forever.
I explored these ideas in a weeklong side project [3] that only got to cumbersome proof-of-concept stage.
[1] https://eth.wiki/json-rpc/API#eth_sign
[2] https://eips.ethereum.org/EIPS/eip-712
[3] https://github.com/mlin/stakesign
Footnote: Bitcoin also had an arbitrary-message-signing mechanism -- commonly used on bitcointalk back in the day -- but I think it may now be ~defunct due to not keeping up with the newer address types introduced in recent years.