This is the L Jr. I bought at RetroFret last year:
https://www.retrofret.com/product.as...ic-Guitar-1925
Notice the bridge, which is original; very much like a banjo bridge. My understanding is that adjustable bridge and truss rod are the primary hardware differences between this and the L1, L2, and L3, and of course progressively fancier finishes as you go up the line.
It is indeed the perfect couch guitar, and much louder than one would expect from that description.