Come to think of it, I wonder if this could be worked around by having more than one download file available, or by enabling pay-what-you-want.
It's trying to host the download directly on the main page, but most other projects I see typically have the "no thanks, just take me to the downloads" link that bounces to a separate download page, with one or more download buttons. Since that page no longer hosts the inline web version, it probably has fewer weird shenanigans going on. Itch is a strange and fiddly platform sometimes...