Personally, i love the idea for the original Imperial Knights. They are Jedi, but they don't have the same moral constraints. The Imperial Knights in canon will do what needs to be done, regardless of consequence, to keep the Empire and Emperor Strong. They have a certain moral steadfastness that keeps them from falling to the darkside of the force, which allows them to do a bit more loose than the Jedi Order.
My old character Diana for instant wasn't necessarily viewed as the best Jedi due to constantly being in battle and wanting to rid the galaxy of Sith, never seeking peace but rather the imprisonment and or redemption of every single Sith in the galaxy. Granted she never killed anyone, but if she had it would've been frowned upon even more. In the Imperial Knights that attitude wouldn't have been an issue at all even the step further of murdering Sith, would've been nothing.