The Intaki are a jungle people developing on what can only be described as a quasi death-world. You can only live in the extreme northern and southern ends of the planet because the further south/north you go the more painful and intolerable being alive gets, and once you get to far out you simply die from heat-stroke or the untamed jungle's flora and fauna. Resources are hard to extract safely and they are few and far between. There is not enough to go around. Clans of people band together for common protection and safely holding land, relying on each other to stay alive. Wars for resources and land are common and the Ida has not been conjured up from some philosopher's heat-stroked mind yet. Clans die out as they lose fights and people die to limited understanding of medicine.
Duel-based systems are nearly guaranteed to develop from this. First blood, to the death, whatever. The Clan whose champion wins keeps the spoils, the losers are losing, but they are alive. A step-up from being wiped out and having to fend for themselves in the death-sentence jungles on their own knowing their family and friends are dead by their enemy's hands.
Then the Ida is spread about and soon become VERY popular. Unify all Intaki into a peaceful co-existence where all the clans live in (relative) peace and trade with each other for what they need? Yes please. Will dueling be needed now? Maybe. The different groupings might still have things to disagree about and have fights over, even if they may not be quite as lethal now, if at all. Would this persist until the Gallente discover them and they realize there is a bigger universe beyond this green death-world? Maybe, as Gallente culture (very compatible with Ida-Influenced Intaki culture) becomes wide-spread and the ideals and ways start to meld together a number of hard-core traditionalists may well have kept numerous traditions alive, even in limited form.
Nothing says that the Intaki don't have groups that chronicle, practice and keep alive all the old traditions and ways that have existed for millenia, including centuries-old combat techniques and dueling practices as well as weapon handling and so on and so forth. (Unless ofc CCP come around one day and goes "NOPE this is how it goes")
Ofc, at this point even if your toon is a devoted 'traditionalist' and maintain dueling skills for lolz and tradition and could possibly maim/kill an opponent with an exotic and age-old melee-weapon, when, if ever, will you get the chance to put these skills to work? It's not like the Ida-loving Intaki sponsor blood-sports in the town squares now do they, and the Federation mostly outlaw the use on the Federal level.
Well, maybe if you become a Capsuleer, those folks are known to have pretty large egos and sometimes when slighted (or just for the hell of it) they ask for a face-to-face match and might even let you pick your weapon...