maybe Vader is NE given how we see a mix of both ce and le in him?
There is no L in him. None at all.
No honor. None. No respect for family. No code. Never keeps his word. He follows the Emperor out of fear and would happily murder him and take his place if he could. Actively tries to betray him twice canonically (three times with EU and Starkiller) before finally giving it another go and tossing him down a shaft.
He literally even exists outside the law, able to murder even Moffs and Admirals with impunity.
Imagine he was an Orc, and insted of using the Force, used an Axe to murder people who displeased him, questioned his religion, came out of hyperspace earlier than he wanted, asked for a promotion for their role in creating the Death Star or were unable to catch evading space freighters in asteroid fields... in every example sparing enough time to crack a joke as he did so (I find your lack of faith disturbing, dont choke on your aspirations, apology accepted Captain Needa etc etc).
He literally murders people for the slightest insult, while trolling them as he does so.
Family? He tortures his daughter (then threatens to bring her before the Emperor and convert her to the Dark side), attempts to first freeze, then maim, then turn to the dark side (twice) and then kill his son (while trolling him), chokes his pregnant wife to death, bails on his mother leaving her as a literal slave for a decade, and never bothers checking in on his mothers husband (lucky for everyone involved).
Keeps his word? Nope. Has a code of honor? Nope. Is in any way trustworthy? Nope (literally kills both masters, and attempts as much on both apprentices). Betrays not only them but also the Jedi Order, Sith Order, Empire and Republic, which he also destroys.
Dont confuse the fact he works for a LE regime, as him being LE.
It's no different to (say) a NE assassin and spy working for the advancement of a LG regime getting his 'hands dirty' for the cause.