Well, as the author says in the FAQ, he's been using the name Final Cut since 1991, whereas the famous video editing software appeared in 1999. Now, given how well-known the latter became, a name change would certainly be reasonable if he wanted to avoid confusion, improve find-ability in web search, etc. But, I get the impression that's not among his priorities, and it's his project, so...
https://github.com/gansm/finalcut
> FINAL CUT is a powerful and lightweight C++ library for creating terminal-based applications with numerous text-based widgets.