[havnagiggle]

A resume is for kicking off talking points with the potential employer. Employment gaps can be misconstrued and not easily explainable on a resume. LLC adds some plausible deniability in any way you want it to, protecting your work history, similar to it protecting your liability.

Maybe you just did self study, but you did it as RealWork™ that your future employer will understand because they want SeriousPeople. It just allows you to drive the conversation the way you want to in a more controlled way. You could say Sole Proprietorship or Self Study, but I've found having an LLC is more receptive.