My 2002 Corolla LE had a Logic Control Deck without CD from off factory line. Today, at the pick-and-pull, I found a '99 Corolla LE with the CD-only player intact. Pulled it out, no damage to the '99 in the process. $25
At the yards, it's more common for the LE to have the Logic Control Deck, all the way up to 2002. Not sure why.
Installed it in my 2002 and it works, no issues with loading and ejecting CDs, and sound is still great.
Here are two photos: