Got into a little debate. A CFI with a student flew in behind me after I landed. The taxiiway is closed due to FBO construction, so you have to backtaxi on the runway. Anyway, I turned around and announced I was starting my backtaxi to the hangars, but he got on the radio and told me I had to leave at the next available taxiway. I did it out of courtesy, but it got me wondering. Shouldn't a plane on the runway have priority and not landing traffic? It's an uncontrolled airport, and I announced every phase of the pattern. I moved just to help them, but it kinda got under my skin after I thought about it. Just wondering, who had the right of way?