With this i can be very short..i own a he500 and the 337 and i listened to the lyr on both the lcd 2 rev. 2 and the he500...both phones sounded better on the 337.. In almost everything..maybe only on the bass the lyr gets on top a bit..but i really didnt like the combo lyr-lcd 2 ver.2
It was missin somthing..but to be honest..the 337 was also not driving the lcd well...it sounded closed in and the bass didnt go as deep as i wished...on the other hand..the violectric v200 was wonderfull with the lcd2 ver.2 though..it really opened the can up..
In my eyes..i wouldnt consider pairing the lyr with the lcd 2..and not even with the 337 if u want the lcd on his best! For the he500 the 337 was a step above the lyr soundwise..only the bass went deeper with the lyr..
But another note..i never heard a lcd 2 ver. 1 so i dont know the sounddifference between ver.1 or ver. 2...
I guess u just have to try various configurations urself what fits u best..
As ofcourse this is all personal..in the end its ur ears that must decide...and u know that..