In Itch Speak the file is listed as an "other", it is not a specific executable as it is not a binary. So there is no "box" to check.
Is the itch.io app unable to download other files?
You you are unable to download any file? I know other itch users have gotten access to it. I do not know if they are using the app or not though. I am sure if you went through without the app you would be able to grab the file. I will look on my side, perhaps you want to post to itch and see if this is a problematic case. For if it is as you say, then the app will not work.