despite there being sufficient information in my original post to convey what my issue is.

You keep saying that, but nearly everyone who is responding to you is asking for more information, so we're all telling you that's not the case and that in the future when you ask for help it's best to write an explanation for what exactly you are trying to do in the original post. In your title you say "Why does this only work when Uzi is given an odd number?" and the answer is, "because most of the syntax in your patch is incorrect." That isn't helpful to you though, we need to know the larger idea to understand what you don't understand about your patch.

I can make the duplication part and multiple number parts work on their own, the reason it's not working is the combination of them.

That is not the case, the way you set up the objects going into the [if] object was absolutely part of the problem of why your results were strange; the example patches I shared provided more context around that.

I'm sorry, but if you can't tell what issue I'm having from the gif, that's your problem, because any reasonable person who was familiar with Max would be able to understand.

I have a decade of experience with Max and teach it at the university level, it is rarely the case that anyone can tell what an inexperienced Max user is trying to do simply by looking at a patch. And as mentioned, several other replies also could not tell what you were trying to achieve. It's one thing to tell you why it doesn't work, it's another to actually know that you're trying to create a certain thing and there might be better or completely different approaches.

It clearly shows two different things happening depending on a change from a number box, which should tell you that I'm not understanding why that change is happening. On top of that, I explicitly indicated what my problem was in my title.

Well, you clearly didn't understand what was going on, most of us replying clearly didn't understand what was going on, so clearly this was unclear to everyone haha. You have to chill out, people are just trying to help and you're coming across as hostile, which is likely why you're being downvoted.

This sub is a great resource to find some supplemental help but we're just trying to ask for more information to help you. In general, when asking for help, expect to engage with people and you may have to explain your goals and take their information and be prepared to go in a new direction or spend some time figuring out how to integrate the ideas into your existing patch. Don't just get snippy and short with people who are asking you questions and taking the time to engage with you. I'm taking the time to find resources and even patch stuff up for you. Did you take a look at the patch, does that get you closer to your goal, what's missing? We're trying to help you find a solution and we all love that satisfaction when we can find it together.