AFAIK Genesis seems to be the Core Ouroboros update that get's rid of centralized genesis keys. That alone would take the genesis power from the IOG/CF/Emurgo multisig for genesis. I haven't gone deep into the Genesis paper and haven't seen any simplified explanation of what it does.
Not sure how Ouroboros Genesis is going to react with https://www.1694.io/ where there are a few genesis words:
Constitutional committee keys
The constitutional committee will use a hot and cold key setup, similar to the existing "genesis delegation certificate" mechanism.
So the constitution is also going to get multisig, though that one is probably going to be for votes, not for blockchain discovery as genesis keys.
The versatility of the info governance action
deciding on the genesis file for a new ledger era
Governance is going to be voting on genesis keys? Is this different or the same as Ouroboros Genesis? Or is one going to be an update for another?
Changes to the transaction body
...And similarly, the current MIR and genesis certificates will be removed...
Is this just a reference to the quote above?
Include hash of (future) genesis configuration within hard-fork proposal
Some hard-forks require new genesis configurations. This has been the case for the Shelley and Alonzo hard forks (but not Allegra, Mary, Vasil or Valentine), may be the case in the future. At the moment, this proposal doesn't state anything about such a genesis configuration: it is implicitly assumed to be an off-chain agreement. We could however, enforce that (the hash of) a specific genesis configuration is also captured within a hard-fork governance action.
that last genesis find, also seems to be talking about the same thing.