Dude,
Ok, you're right. You didn't say that it's the ONLY way to get that sound, but you really didn't provide a useful or helpful answer either.
Of course if you had the same drum, tuned it the same way, miked it the same way (in the same room), and effected it the same way, you could get that snare sound. BUT you still don't need the same snare. You could call up Lenny and ask him what drum they used, go buy it (or even borrow the exact snare), set it up in your studio, and you'd still be a long way from getting that sound.
Of the hundreds of snare drums out there, there are only a handful that are so unique that the sound can only be recreated by the exact same drum. If you take a 6.5x14 maple snare from Pearl, Yamaha, Tama, Premier, and whoever else; put the same heads on them and tune them the same, they're all going to sound just about the same. Biggest difference might be shell thickness. Will they sound EXACTLY the same? No, but most of them will be pretty darn close... By the time you mic it, eq it, mix it and put effects on it, you'll get the same useable results with any of the drums.
Listen to that song. It's Lenny's treatment of the drum that makes it unique. There's nothing special about the snare drum itself. A good drummer with a couple of snare drums who knows how to get a varietly of sounds out of his drums could get pretty close to that sound.
BTW Vox, I didn't disagree with any other part of your post. I just didn't think it's fair to suggest that he has to have the same drum.