Item can drop still.
No-names -- no prefix, no suffix -- still drop at that intensity level.
One-name -- just a prefix or suffix -- still drop at that intensity level.
Two-names -- a prefix and suffix -- at that intensity level are very common.
No-name and one-name are much more uncommon than two-names. No-name and one-name are generally the best loot, especially at the Artifact intensity levels, as the two-name possibilities in the loot table is rather limited. That's why most two-name legendary shields are junk.
No-names or other items that drop with > 8 mods are what broadsword nerfed a few years ago.
Gargoyle cloth and cloth armor overall isn't desirable, relatively speaking, as it cannot be enhanced with the forged tool.