I've been talking to Hill about the differences between HyperOracle zkOracle and zkCoprocessor.
Finally we have a detailed definition and comparison!
TLDR: zkOracle = zkCoprocessor (historical data access type) + zkCoprocessor (zkVM compute type).
https://mirror.xyz/sevenxventures.eth/_JMWKYVob9x3COlO7V2k71pN_pZORc4DVcByhfU0ZaQ
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The equation will be changing. Stay tuned!