I wouldn't use any of that including caltrops. Gotta remember, almost all your damage is actually from shadow daggers and bladestorms. I copied McFluffin's build for the most part, and it just uses a bunch of utility effects on Aerial Assault. Wish there was a way to approximate DPS for this build, not really sure how much damage sword/dagger dual wield adds compared to the potential defense boost I could get from dropping the sword for a Cradle of the Erased shield. Still have to find a shield and then pray to RNGesus that the weaver's will actually gives it the right stats before I can do any testing myself.
Caltrops would be awesome if they dropped at the landing, since it seems they continually trigger Skyward Swoop... but as it stands they're useless except for dragon-size bosses.
In monoliths, that's correct. That should never happen though. With a proper loot filter you shouldn't have to process all your crap loot more than once every 5-6 echoes.