At one point in the wilderness, people went to Moshe, and lamented that they were impure at the time the Korban Pesach was offered, and wanted inclusion in the mitzvah. Their feedback was legitimate, and the law of Pesach Sheni was revealed.

Yet Korach too sought more inclusion – that everyone ought to have access to the holy service, not just the Kohanim. His demise was swift.

What is the difference between what they wanted if their complaint was essentially the same?

There is a concept that all negative characteristics have a positive application – for example, it is permitted to be jealous of a tzaddik or great scholar. Such jealousy can foster aspirations, that if realised, transform a person. This operates on the stepping-stone principle that מתוך שלו לשמה, בה לשמה – misdirected thought can nonetheless develop into legitimate action and intent.

However, there is a caveat to this rule. Not all misguided actions are reparable in the long term – one type of action will never become legitimate – argument. The Mishna in Pirkei Avos 5:17 says כל מחלוקת שהיא לשם שמים, סופה להתקים. ושאינה לשם שמים, אין סופה להתקים.
איזו היא מחלוקת שהיא לשם שמים? זו מחלוקת הלל ושמאי. ושאינה לשם שמים? זו מחלוקת קרח וכל עדתו – Any argument for the sake of Heaven, will endure in the end. One that is not for sake of Heaven, will not endure. What is the paradigm of an argument for the sake of heaven? Hillel and Shamai. What is the paradigm of an argument not the sake of Heaven? Korach and his congregation.

Is it simply that an argument in Torah will endure, and that politics will not?

R’ Yaakov Minkus explains that there is more to it than that. Adding the mitzvah of Pesach Sheni was not a problem – the Torah was not closed canon yet. Korach however, was looking to cause issues and rifts.

Hillel and Shamai were looking to build halachos, and build a system to live by. From one’s point of view, we understand the other better. We need both to build and consolidate. A losing argument is included in the Gemara because it is a valid view that aids in understanding the issue.

Not so with Korach. His arguments were not constructive at all. His claims and goals were literally baseless and without foundation – note how the ground on which he stood collapsed beneath him – he was not fighting for anything real. The same is certainly not true of the Pesach Sheni crowd – therein lies the difference.

The Mishna says as much too. The paradigm of an argument not for the sake of heaven is “Korach and his congregation.”. If the parallel to Hillel And Shamai were correct, it ought to have said “Korach and Moshe”. Korach wasn’t really fighting anyone at all – it was just about causing a stir and breaking down the system that existed.

This is what Rashi and the Targum mean – ויקח קרח – “And Korach took” – What did he take? Himself, to one side.

It was never about Moshe. It was about causing a stir. The Pesach Sheni people wanted to be close to God – the parallel to Korach’s falls away swiftly.

Moshe’s name does not appear as part of the narrative of the Kehuna – Parshas Tetzaveh – when he probably ought to have been; what with his overseeing the entire construction and dedication of the Mishkan. Why does his name not appear?

On seeing the fallout from the Golden Calf and the ensuing plague, Moshe pleaded for mercy for the dying nation:

וְעַתָּה אִם תִּשָּׂא חַטָּאתָם וְאִם אַיִן מְחֵנִי נָא מִסִּפְרְךָ אֲשֶׁר כָּתָבְתָּ – … forgive their sin; otherwise, erase me from Your book! (32:32).

The Ba’al HaTurim explains that although this succeeded in ending the plague, a righteous man’s word is always fulfilled.

But of all the sections in the Torah, why is this specific section the one his name is redacted from?

Tetzaveh largely deals with the Kehuna, which was given to Ahron and his descendants. R’ Yakov Minkus explains Moshe and Ahron had very different personalities. Moshe brought the Torah down from Heaven, to mankind’s level. Ahron embodied humanity attaining greater status through their own cultivation, as the ultimate “people’s person”. He was a lover and pursuer of peace. This is what the entire Kehuna was given for – bridging relationships; between people, and between people and God – elevating them.

Similarly, the Gemara in Sanhedrin concludes that there are two equally valid ways to settle litigation; judgement, or compromise. The fact that each are valid settlements shows that both are independently potent at achieving their goal. Moshe represented strict justice, and issued rulings for disputes, whereas Ahron represented compromise.

The role of the kohen is to play the arbiter, the middle man and mediator. As a man of the people, he is meant to feel their emotions, guide them through the services in the Beis HaMikdash.

If the two ways are equally valid, it is fair to say that they should not impinge each other, and when introducing the validity and importance of Ahron’s method, the inclusion of Moshe and his methods would actually devalue it somewhat.

Various times where Ahron and Moshe are involved, the Torah alternates who is mentioned first – illustrating their equality. Granted that Moshe was the greatest man to walk this earth – but their approaches in resolving problems people had with each other and with God was equally important.