Mjolnir> or = Destroyer's armor so either both yes or both no.
But in general are we supposed to accept that the axe can cut through anything?
If so then it cuts through anything. What's to talk about?
Mjolnir has faced far more threats and has been in far more battles than the Destroyer. So if you are going to use statistics then it's not about how many times something has been damaged but the percentage of the times it's been damaged vs. not damaged. I believe Mjolnir has a higher percentage. Plus we know the strength of Mjolnir depends on the power flowing through it (based off who's in possession of it). For example, King Thor can make it far harder than the Destroyer's armor.
But the same thing can be argued about the Destroyer construct. If you placed Odin within it, it would be far more dangerous and powerful, than if Tarene were to be in it. Handbook's aren't always the most reliable source when it pertains to feats or canonical events, but it was written that the Destroyer was made of sterner materials than even Mjolnir (check it out for yourself). This is one of those time that the Handbook takes precedence over opinion, or a writers inability to keep it together contiguously.
Why would Persuader's axe far better against Adamamntium than the dozens of "cut through anything" weapons that have failed in the past like The Onyx Sword or Ebon Blade?
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I can see it cutting through everything on this list, except maybe Diana's bracers. Hell, it could probably cut Asgardian Destroyers disintegration beam in half. Pre Crisis stuff was crazy like that..