I love how in so many Wolverine threads, Parker is for some reason brought up as this certain reference point, when really, who would win in a forum fight between those two characters is to this day one of the most debated topics, and it never ends with everyone in agreement.
If you want to argue that Spider-Man can’t knock out Wolverine and therefore neither can Batman, I disagree but that’s fine. Superior Spider-Man didn’t get any additional speed or strength amps, just Otto’s mind, and Logan was taken down swiftly, even if he also recovered quickly, and that’s just how that looks to me.
As Leo pointed out long ago, people who want to read a good Wolverine story rarely want to seem him lose as long as he’s got his grit, adamantium, and healing factor, so that’s just how it’s gonna be for him most often.
Spider-Man scratches a totally different, relatable, underdog-oriented itch so he’s written to get his ass kicked by geezers like Vulture despite supposedly superior strength, speed, intelligence, range, agility, and pre-cog because even with all that he’s still “human” and gets in his own way.
Both are great characters and those who pick one over the other have good reason to do so, but Spider-Man isn’t in this fight. Batman, on the other hand, is similar to Wolverine in that he wins way more than power set would indicate. He has a “plan” for everything. So, knocking out Wolverine? Very unlikely but possibly. I mean it comics.