They fought in a crossover of their solo titles (like issues 8-9) cant remember exactly how it went down but daken won. So daken
What are you talking about? They fought each other to a standstill, and she did better against the mutated children in the Weapon X lab when they worked together later in the crossover.
Since then, she's also taken on four venom powered clones of herself and all sorts of demonic monsters (without an active healing factor by the way) in the Venom crossover. Along with the rest of the Avengers Academy, she fought a series of superpowered teenagers when she was depowered and dying of Adamantium poisoning. She knocked out an elder of the universe - the collector. She tackled Rockslide during the Jean Grey School/Avengers Academy football game, which is an impressive strength feat.
Outside of her feats, she's practiced a lot on robots (with Finesse, who learns to fight the exact same way Taskmaster does), had sparring matches with different Avengers including Tigra and is often shown working out in her cameos. Where has Daken been since their crossover? Oh right, Wolverine drowned him in a pool.
Without his recent horsemen powerup, I'd give the advantage to X-23. Adamantium claws aren't much of an upgrade for him considering his claws were strong enough to cut through metal anyway. If anything, the metal will slow his healing factor a bit.