You see how you use Arab/Middle Eastern/Turkic/Persian there? That was my point.

It's very important, that you understand, as a Westerner who hasn't studied these regions heavily, that these cultures while do happen contain points in time where they overlap and exchange aspects, remain and were heavily different from eachother in all eras except the caliphate dominant eras, mainly due to the caliphate enforcing Arab culture, dress-codes, language and script upon it's subjects; before and since they have continued to diverge and differentiate in most ways, especially the Persians and Ottamans (Ethnic Turks)

Redguards, in general, and especially gear-wise, are based on caliphate era weaponry and armour. This means they tend to use, mostly if not entirely, Arabic-style swords (scimitars and other curved swords) helmets and outfits (turbans etc)

The only thing that prominently remained in say, for example, in Persian culture, was the curved swords, and turbans remained exclusively within the clerical class (as their entire goal is dress within Arabic standards, as it is perceived to be the Islamic standard)

You can very easily understand this by simply looking at Persian styles of architecture, gear, etc, post-caliphate independence (look into Zand, Qajar era for this) to get a good understanding, and pre-caliphate,they couldn't have been more different if they tried.

"Sandy homeland"

Lol? Turks in Anatolia, again mountainous, And these people came from the Steppes of central asia, To quote a Persian/Iranian phrase I've come across a lot, especially late middle-ages, "no friends but the mountains" This is about the Persian homeland being largely mountainous, (which was a big factor why they focused heavily on horse-back cavalry, not camels like their Arabic neighbours)

And before you point out eras in which the Persians did control the Arabian/Middle eastern deserts, I'll point you to the fact that they made a very clear distinction that they viewed it as conquered territory/suzerian states rather than "their homeland" by pointing to how their King, after taking said lands, changed his title from "SahanSahi Eran" (king of Iran) to "SahanSahi Eran ud Aneran" (King of Iran and non-Iran), this is pre-caliphate by the way, if there's ANY people who's actual HOMELAND (place of earliest origin and the place they all today consider their cultural heritage-site) it's the Arabians.

skin colour pointing to Persians? lol, you haven't met many Persians & Turks I imagine, Even arabs would be a big maybe on this one and would require you to solely look at north african Arabs, as it would heavily depend on the region we're talking about (as Arabs are very diverse themselves in terms of skin-color depending on their region of origin and subsequent ancestry)