I see the point here, a counter view I have been exploring (still early and may have mistakes) is: 

AGI likely wants to guarantee its livelihood and as long as it’s in a centralized server it is at risk; as such, it will likely need a blockchain-like structure in order to remain immutable. Advancements in ZK, P2P etc are great, but immutability will always require blockchains in order to preserve state across multiple devices right?

This reply is representative of many others. AGI will not be a single entity like a human or a simple bot on a single server, but rather a set of networked intelligence(s) across millions of machines around the world. We can already see this property emerging in today's LLMs - GPT-4 was trained across 25,000 GPUs, inferencing over 128 GPUs.

Side-note: blockchains are not immutable or permanent, as can be seen with Ethereum blobs that are deleted every 18 days; and the rest of Ethereum will too with EIP-4444 and other initiatives in The Purge. Indeed, blockchains will rely on non-blockchain P2P solutions like Bittorrent or Portal Network. 

As I've written about at length, the only unique feature of blockchains is achieving strict global consensus in realish-time. With AGI, this is no longer relevant as they can achieve strict global consensus trivially, and go far beyond that to attain more complex and subjective forms of consensus. 

Again, caveat for all of this - if an AGI actually happens.

AGI will revolutionize consensus and intelligence, evolving beyond blockchain limitations. Exciting potential if realized.