Well the author did say “if you have a different vision, or opinion, about what Learn Vulkan should be, don't hesitate to contact me as nothing is set in stone

Well the author did say “if you have a different vision, or opinion, about what Learn Vulkan should be, don't hesitate to contact me as nothing is set in stone yet”, and while I think that may have been primarily about the book/website combo I think now is a perfect time for you to contact the author (contact details on the page) and ask them about including Vulcan compute on the site.