It is a common misconception to claim that in Batman vs Wolverine fights, Batman loses all the time if he doesn't have prep.
Batman's experience allows him to face the likes of Bane, Mr Freeze and other super-powered opponents. He has regularly clashed with the Justice League members' own foes during crossovers, and I'm sure he didn't really have much prep there. His experience is enough for him to take on the super-powered foes.
Given that Wolverine is merely a low-end super-powered opponent, Batman has a good chance of taking him out, even without prep.
How? In a battle, maybe. But even there would be a very small chance of Batman winning with or without prep. Wolverine may not have the martial arts background that Wolverine has, but he is much more aggressive and cunning than Batman. Batman with prep would give Wolverine a struggle but eventually that healing factor kicks in and game over.
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