most of my work isn't conceptual per se', but I do make a living as an artist, and most of my sales are online. And for me, that is many types of sales -- gift purchases, commissions, corporate artwork, you name it. Everything from small $25 pieces to $10,000 -- all online.
The key is to present your work well, and build a connection to your buyer. Whether that is building the trust necessary for commission work, or getting people engaged in the story behind what you do. Social media can be a great tool to building those connections, as can a blog, newsletter, etc. Look past Etsy and think about who you are marketing to and how to best connect with, and communicate to, them. Etsy is just a selling platform.