I would think even a larger lathe would work - just use a chuck that is appropriate for the size of the work piece. Hopefully people with more experience that I have can weigh in as well.I only want to know if a good Rikon wood lathe will done the job for smallest item.
That said, for $30 USD I enjoyed using the mini-lathe on these small posts. It was convenient (sits on a table) and was very quiet (no ear protection). I would rank it as one of my better purchases for our hobby despite its limited application.