To me this doesn't sound like Homer at all. Neither does the GPT4 version.
In my experience AI's are just not very good at imitation yet, except in the most superficial ways and of sources there's a ton of training data on.
For example an AI could "sound like Shakespeare" in the sense that it could write in iambic pentameter, or mention Shakespeare's characters and be able to mimic their superficial characteristics, but that's it.
On closer inspection there no confusing the AI generated work for the real thing.
And they're completely useless for imitating more obscure authors, for example.
Nah. This sounds like Homer J Simpson. The GPT-4 one doesn't.