I don't know that Ulquiorra's exactly honest. In fact, I think he's the opposite. To me, it seems like he might actually be a gentle, chivalrous soul, but plunged into a world of eat or be eaten like Hueco Mundo, he has shut that away in order to survive, convincing himself that everything is trash, and that the world is a dark and twisted place. His whole Bleach Beat Album to me sounds like a man who IS hopeless, who might want to love or find joy in the world but has been hurt too much to expect it, so he lies to himself in order to survive, in order to hide away the part of his heart that loves.

"That's what happens when you cling to hope
You set yourself up for despair"

"Think of our world
It is meaningless to instigate it
Pass quickly over those trivial thoughts. Moreover, crush them."

"Ah, my prediction was right. This is the trivial world
I'm not sure what will become of it
Well then, I'll do as I please CRUSH THE WORLD DOWN"

To me, those lyrics are Ulquiorra telling himself that any thoughts of peace he might have are trivial and must be crushed, because it is too much to think they might be worth something, and clinging to hope will lead to despair.

I really do think that Ulquiorra, even more than Grimmjow may be a redeemable Espada. He may still die, but I like to think he may somehow find redemption before he closes his eyes for good.