”...business, teaching, writing,...”
For those fields, you would definitely want to go the more formal route. It’s one thing if you are in a creative field (so writing is a maybe), but for traditional job applications you want to stick with the familiar one page format. If they have a stack of resumes and are looking for a routine worker, they will immediately put aside one that is out of the box.
You have to know what the hiring manager is looking for and craft your resume to their preferences. Usually they want to see skills and a stable history of relevant experience, training or education.
Make those be the first thing they see on the page and avoid adding anything that would allow them to disqualify you for the position before they even interview you.
Usually the hiring manager has too many resumes and is looking for ways to quickly disqualify candidates so that they can focus on just a few applicants.