Exactly.... in order:
DKL has new level types, and thus new music
DKL3 had the same level types but different stages
DKL2 had the same level names, just different layouts.
There were only TWO stages that were different as you know. Haunted Hall was replaced by Krazy Koaster, and Castle Crush was replaced by Dungeon Danger.
There were a few changes to the actual level order.
For example, In DKC2, you had Crocodile Cauldron which had:
Red Hot Ride
Then you had Krem Quay which had:
And then Krazy Kremland had:
King Zing Sting
In DKL2 however, Crocodile Cauldron was merged with Krem Quay to create "Krem Cauldron"
And then, Bramble Blast was moved into the place of Bramble Scramble, and Bramble Scramble was then placed between Rickety Race and Mudhole Marsh.
Apart from the slight change in order, and the fact that the layouts are different.... it's basically the same game.
It's like a hack where the person who made it couldn't be bothered to rename the stages