I think it is not related to specific resolution. It occures after the change of resolution, when position of the cursor does not match its actual position.
I’d always had it on 1366×768 and the button always worked. I changed it to 1024×768 and loaded and played the game many times with that resolution, and the button never worked. I just altered it to 1280×768 and the button immediately started working after the required re-start.