Sorry about the wildly late reply, family things happened.

I just made sure the addon was up to date, and an ilvl 355 Honorbound Artificer's Guise is not registering to be disenchanted. I don't actually recall ANY azerite gear ever registering, but I do have a habit of just mashing the macro and DEing everything I have without paying a lot of attention, so that may be incorrect.

 It's still not registering, but I did notice something weird when mousing over the item to manually DE it, and of course I wasn't fast enough to stop myself to get a screenshot. The azerite item tooltip had, in red letters, "Cannot be disenchanted" when it obviously could be (I successfully DE'd it). Here's the item in question;

 TSM4 2872efe.

Using any of the macros DestroyUs Pro creates

Doing a regular disenchant with Molinari works just fine.

Message: Interface\AddOns\TradeSkillMaster\Core\Util\Util.lua:389: Could not acquire temp table
Time: 07/22/18 16:10:07 (4669103)
Client: 8.0.1
Locale: enUS
Combat: false
Error Count: 1
Stack Trace:
    TSM\Core\Util\Util.lua:389: <AcquireTempTable>
    TSM\Core\Lib\Settings.lua:471: <SyncAccountIterator>
    TSM\Core\Lib\Sync\Connection.lua:209: <_func>
    TSM\Core\Lib\Thread.lua:464: <Thread.lua:461>
    (tail call): ?
Temp Table Info:
  [99] TSM\Core\Util\Event.lua:48 -> Interface\AddOns\DestroyusPro\ItemsApi.lua:101
  [1] TSM\Core\Lib\Delay.lua:65 -> TSM\Core\Lib\ItemInfo.lua:585
Object Pool Info:
  DATABASE_QUERIES (15 created, 14 in use)
    <none>
  COOLDOWN_TASK (0 created, 0 in use)
    <none>
  GATHERING_ALT_TASK (0 created, 0 in use)
    <none>
  TABLE_ROWS (0 created, 0 in use)
    <none>
  DATABASE_QUERY_RESULT_ROWS (104 created, 53 in use)
    [53] ???
  DATABASE_QUERY_CLAUSES (31 created, 25 in use)
    <none>
TSM Thread Info:
    {
      PLAYER_PROFESSIONS={
        state="DEAD",
        cpuPct="0.0%",
        cpuTimeUsed=1.2889749826863,
        isImmortal=false,
        backtrace={
        },
        realTimeUsed=56369.433789029,
        createCaller="TSM\\Core\\Service\\Crafting\\PlayerProfessions.lua:45",
        startCaller="TSM\\Core\\Service\\Crafting\\PlayerProfessions.lua:65"
      },
      SYNC_MANAGEMENT={
        state="RUNNING",
        cpuPct="0.2%",
        cpuTimeUsed=87.352820607834,
        isImmortal=false,
        backtrace={
          [1]="TSM\\Core\\Lib\\Sync\\Connection.lua:209",
          [2]="TSM\\Core\\Lib\\Thread.lua:464"
        },
        realTimeUsed=56856.043323118,
        createCaller="TSM\\Core\\Lib\\Sync\\Connection.lua:48",
        startCaller="TSM\\Core\\Lib\\Sync\\Connection.lua:49"
      }
    }
TSM Debug Log:
    16:09:38.818 [INFO:93] [SNIPER] EV_MSG
    16:09:38.818 [INFO:93] [SHOPPING] EV_MSG
    16:09:36.642 [INFO:93] [SNIPER] EV_MSG
    16:09:36.642 [INFO:93] [SHOPPING] EV_MSG
    16:09:22.885 [WARN:163] Delay callback (TSM\Core\Lib\Modules.lua:25) took 182.82ms
    16:09:22.701 [INFO:93] [DESTROYING] EV_BAG_UPDATE
    16:09:22.621 [WARN:40] Event (BAG_UPDATE_DELAYED) callback took 30.67ms
    16:09:22.619 [INFO:93] [DESTROYING] EV_BAG_UPDATE
    16:09:22.318 [INFO:565] Thread finished: PLAYER_PROFESSIONS [DEAD,0.0%]
    16:09:22.316 [WARN:163] Delay callback (TSM\Core\UI\AuctionUI\Core.lua:33) took 48.44ms
    16:09:22.267 [WARN:163] Delay callback (processItemInfo) took 93.99ms
    16:09:17.867 [WARN:40] Event (ADDON_LOADED) callback took 1098.70ms
    16:09:17.865 [WARN:53] OnEnable (AuctionDB) took 892.35ms
    16:09:17.519 [INFO:52] Got AppData for Silvermoon (isCurrent=true, 25 |4Min:Min; 52 |4Sec:Sec; ago)
    16:09:17.438 [INFO:52] Got AppData for Aggramar (isCurrent=false, ?)
    16:09:17.438 [INFO:52] Got AppData for Khadgar (isCurrent=false, ?)
    16:09:17.438 [INFO:52] Got AppData for Draenor (isCurrent=false, ?)
    16:09:17.438 [INFO:52] Got AppData for US (isCurrent=false, 4 |4Hr:Hr; 17 |4Min:Min; ago)
    16:09:17.147 [INFO:52] Got AppData for EU (isCurrent=false, 12 |4Hr:Hr; 1 |4Min:Min; ago)
    16:09:16.964 [WARN:53] OnEnable (Modules) took 194.26ms
    16:09:10.630 [WARN:40] Event (ADDON_LOADED) callback took 500.73ms
    16:09:10.583 [WARN:39] OnInitialize (ItemInfo) took 220.05ms
    16:09:10.412 [INFO:113] Imported 32173 items worth of data
    16:09:10.362 [WARN:39] OnInitialize (Groups) took 216.82ms