Sorry Andrizzle I am getting of topic...
LS4me,
I'm not saying you didn't see what you saw. But the only scenario I can think of that might have been the case is you saw a late production 01 LS with the CDC body kit and WW spoiler on it and the dealership said it was an LSE.
To my knowledge/experience was no such thing as a factory produced 2001 LSE. I have seen several people do the CDC kits and claim they were an LSE. Especially on Ebay, but from the factory they were all 02 MY for the Gen I LS. As far as what a dealship does... That's another matter.
Also I just want to add that it's all good bro, I am not saying I am the ultimate authority on this, honestly. I welcome any input on the super rare LS stuff. It makes them that more unique. Do you think you could find any info about an 01 LSE?