I have closed my old site and I have not deactivated the license of the purchased theme

I closed my old site and I haven’t deactivated the license of the purchased theme, I contacted the creator of the theme and he tells me that I have to renew the support period ($58) to change the license and make it to the new site. It doesn’t seem fair that they ask me for more money to change 10 words, is it normal to ask me this?