It's hard to say Travis... When you say it doesn't fit my description, what in particular are you refering to?
It's been my experience that the cladiellas are by FAR the slimiest and hardest to attach of all the soft corals I've dealt with. The best I can do is liken it to working with thick stalks of xenia, as to it's texture and feel.
I may have thrown you off a bit by saying it's "softer" as well. It's actually tough to pierce through, although it's consistency is more "gooey", if that makes any bit of sense...LOL
If yours isn't slimy, I'd be more apt to move it into the Alcyonium or lobophytum genus', with sinularia being a possibility also. To be more certain, that close-up of the polyps would do miracles though
As a side note, Borneman's book also mentions that Cladiellas will almost ALWAYS come in cream to grey-white colors, with Alcyoniums ranging from brown to yellow. Note that this is a generality only and not set in stone.
-HTH-
Cos