Surely your public image is defined by more than one word. It's true that many entrepreneurs and billionaires are college dropouts and they likely have little use for a resume, but I would expect them to have fully embraced the word, "dropout".
I would also be careful to distinguish the distinct purposes and differences of the things you brought up: job resume, social media, and your public image. A job resume is meant to impress someone enough so you'll get that follow-up call or interview. Social media is, well, for being social -- interacting with people who may or may not know you. And finally your public image is something that is hard to control. The entire field of public relations is devoted primarily to managing a person or business's public image, and may even include managing their social media.
My point is that your resume is a one-on-one "communication" whereas the other two are not. A resume is for interacting with the person while social media and public image are about interacting with people.
You can choose to embrace or not embrace the word at your discretion, and the choice may depend on your self-esteem or confidence in defending your idea of the term and how well you feel you fit into that context. Interacting with the person and interacting with the people are entirely different circumstances, and your usage of the word should reflect that.
One solution is to simply put the dates of your university attendance and leave it at that (and omit the "expected graduation date" entry). No need to explain anything explicitly. You want your resume to hint or guide the reader so that he or she creates the best "image" of you based on the text and layout of a simple sheet of paper with your name at the top.