I believe I figure out problem and that have to with file type. In case you didn’t know the file type on Itch is actually HTML5 while yours seem be just HTML which seem to be incompatible with operation perform on IOS devices.
It's the exact same file.
IOS treats them differently for some strange reason. They same file just different version as HMTL 5 is later version of HMTL.
Update: it have to with version of IOS specifically as different version work with HMTL files differently.
