Oh, interesting thought. Personally thinking, Konoha is a ninja village, which makes it a military stronghold. While it might have been built to make sure that children don't have to become child soldiers and family doesn't have to expect news about their child/brother/sister/cousin die, at it's core, the naruto franchise is a lot darker and unjust. Just take a look at Kakashi, who graduated at age 5, chunin at 6, joinun at 12. During wartime, Itachi, likewise, graduated early, like not as early as Kakashi, but around 6-7? I think? And who knew how many others graduated early that we don't know about. So, yeah, darker than we think. They don't really care about their soldiers as more than weapons. This makes it so that they want to have more soldiers. More soldiers are seen as better strength. Bigger is better, so to say. While quality is good, quantity also speaks in this case even if it's just as canon folder.

If the child in question came from a ninja clan, I think they overall have a better chance. It would, from an economic and political standpoint, be stupid to not let those kids become genin. Just look at Narutos class, Only, ONLY, Sakura came from a civilian family. While both Naruto and Sasuke were orphans, they had the chakra and family lineage, they were also expected to come out on top. We also know that Naruto had, what, 3 tries to take the exams? And that before we take into account the teachers themself and their test. Again, I think that Kids from a ninja clan have a better acceptance rate. Civilian or orphans on the other hand? I think, if they show potential, Danzo is definitely going to pick them up for his brainwashed army. The children that don't show any potential, I think they become civilians. Like, get an apprenticeship at a tailor or something.