You can apply CC-BY-NC to software, people have done it. And it's recognized as _not_ being an open license, it's at best an “open-access” or “source-visible” license, because of the usage restrictions.
The entire point of an open-source license is that you're _preventing_ people from restricting modification and derivative use. The whole point of the AGPL was to prevent a hack that companies found to abuse the software's license and prevent derivative use of their changes.
I'm not saying you're morally in the wrong for choosing a license that doesn't permit commercial use, but I _am_ saying that it's contrary to the spirit of the license you're claiming it's akin to.
Hope this helps.
GPLv3 is one of the strongest copyleft licenses for software out there, forcing re-sharing of changes while preventing any source closing. CC-BY-NC is the strictest CC license which allows sharing, with credit, with no commercial use and no derivatives.
Hence I tried to aim for "I'm selecting the one of the most strict license for sharing my photos, as I do the same for my software, yet AI systems disregard my license every occasion and just rip what I put out without my consent or consideration of the license I use for these, hence I refuse to use, or support AI models which are fed like this".
Hope this helps.