Do you mean the arguably losing part where she got frozen? She was still alive just incapacitated. That is exactly saying Aizen, Tosen, and Gin all lost because the Old Man got his fire wall around them as they appeared. They were cut off from the battle, yet were still alive.
No, that is in no way the same, Halibel had been removed from the fighting, and placed in a position where her opponent could have finished her off at a later time. She were defeated if not for Wonderwiess's intervention.

Aizen, Tosen and Gin had just been stopped from retreating. They were not in any way stopped from fighting, or in any way weakend by the wall, so its a false comparison.