I have a project that I have exported as .hyperesources proect. I've uploaded this to the WordPress theme folder and checked the .js URL and that loads correctly.
However when I add the code to the WordPress template it doesn't display anything.
Do you see any errors in your browser's console log?
Since you're loading the Hype project as part of the template, I'm not sure if the error is on the WordPress side of things. I haven't actually edited the template files to add a Hype project. I usually just add a block for such things.
I recommend setting a height for your document instead of using 100% as the height. If you use flexible layout, and insert a document into a WordPress template, it typically does not have a set height, so it appears as zero pixels tall.