I have installed it via the itch client and there the game was launched under WINE. So maybe it’s just a packaging issue of sorts.
I have no idea about how the itch.io client works, as I only use the website. On the website, there is a Linux exclusive download (which is in .tar.gz format) and a Windows exclusive download (in .zip format). Perhaps the itch.io client only handles .zip filetypes? (I’m pulling that out my backside).
I just downloaded the Linux download and double checked… it is definitely the Linux build.
I just tried again. At least the client has the Windows-Version pre-selected for some reason. Now I selected the Linux version and it works. Must have missed that yesterday, sorry for the fuss. Not quite sure how to tell it to offer up the Linux version. Pretty sure it works correctly through Butler but not sure how it works with manual uploads.