I've had people ask how they can download new updates, because Itch's UI isn't exactly great, and it still has a "buy" button even when you already own the game. If you can't find where to download the newest updates, check your Itch library here: /my-collections and find The Choicer Voicer.
However, I've also had people say the download button doesn't work? If you're experiencing that, is there anything you can elaborate on? I want to make sure everyone who owns the game has access to each update, after all.
EDIT: Some users are reporting that their only solution is switching to another country of origin by using a VPN. I have no clue why that would be the case for downloading when you've already purchased. I would suggest trying to ask Itch support? Though Itch's support hasn't been the fastest with responding to my own inquiries.