The problem is that it's such a common trope in anime that they do it to themselves and Frankly it's lazy.
Generally the hype the Character up as a badass, have them Walk all over obviously weaker Characters, then have them lose to a main villain to inspire the protagonist however the lost is EMBARRASSING considering how strong the character is supposed to be. The only recent anime that didn't completely do the strongest character dirty that I can remember was BHA where the strongest actually WON the fight but even that had a drawback.
The key is to give bits and pieces about the order, samples here and there. You don't go into a full deep dive of Their daily life like Gay did for the DM (effectively making them look like garbage) but rather you seen the mission side and sometimes get information on how the order operates
Actually I would argue Hudlin, after priest, used the DM the best. They only showed up sparingly and the times they do they saved Ramonda, and the best the isht out of Widow. Most of their appearances they looked good. The HZ unfortunately are the ones whom have only gotten a handful of good showings of the decades but otherwise are fodder... Hard. Outside of almost annihilating the MA in Coates, the last time before they was in tro Where we see them murking the atlanteans... I'm pretty sure those are their only good showings.
That being Said there are ways to keep the mystique while keeping them badass and competent. The best ways are similar to how Hudlin used the DM to beat widow. Which is to show just enough to get a grasp or how dangerous they are then move on... OR create a situation were you have fodder that is created just for them to defeat and hyped just enough that it gives them a good fest over them. Aim, the hand, etc. Perfect groups for the HZ and DM to take on.