Have you tried it? I'm just checking, because I've done this with lots of apps that I definitely purchased after Mavericks compatibility was dropped, and it has always worked. You must attempt the download from the purchased screen in order for it to offer the option.See, you purchased it when it was compatible with Mavericks, and I did that when I used High Sierra, i.e. this year, and as of this day High Sierra is the minimum (not even Sierra). So, no, it's not possible.
(Do Something When is working great too, though.)