It can't be included in the official F-Droid repos, as it is not Open Source.
It's hardly better than any other proprietary software as the FUTO Temporary License does not allow users to make modifications and share them with non-programmers. They could include ads or spyware and no one would be allowed to strip that out and share the result with others.
They also clearly forbid redistribution "directed towards [...] monetary compensation". But F-Droid has to be compensated for their server costs as well, and they ask for donations as they should be. That's why limiting commercial redistribution alone is a huge issue that would keep it from ever being called "Open Source" or "Free Software".
Great idea, that's what I would probably do as well if I wanted to make a commercial game.
Just remember, if you want something to be "Open Source" or "Free Software", the license can't prohibit commercial use [0][1]. If you really want others to be able to continue maintaining the project after you have stopped, they need to have permission to recoup their costs for servers, physical copies and to get paid for their development time. (Open Source) development needs to be financially sustainable; and if that is forbidden for future developers, it's not a community project anymore, i.e. not Open Source.
Also, if by "attribution, no commercial use" you mean some Creative Commons license, they explicitly discourage use of their licenses for software [3].
[0] https://opensource.org/osd
[1] https://www.gnu.org/philosophy/free-sw.en.html#selling
[3] https://creativecommons.org/faq/#can-i-apply-a-creative-commons-license-to-software