I just added this as a feature. You can launch the game with custom WADs at the site's landing page (https://doompdf.pages.dev/). It'll open a new PDF file as a blob URL (and you can even save and redistribute the PDF it generates).

A disclaimer though - I don't have any experience with Doom modding. I don't know if the behavior of this feature is correct. All it does is it loads the PWAD by passing the "-file" argument to the game's main function.