--My above post was probably 100% wrong. After reading these two articles I have a much better understanding.
Nah, you're on the right track. If you run the numbers you'll see why Audeze's recommendation of 1 W is about 10x higher than you really need. This is explained in detail in prior posts so I won't repeat it here. The LCD-2 is efficient and easy to drive. The most important thing in an amp for the LCD-2 is quality, not output power.
Incidentally, I needed a second headphone amp for my LCD-2 and HD-580s for a second system. So I have a Meier Corda Jazz on the way ... will report back how it compares against the Headroom Maxed Out Home that I'm using now (which I like a lot and am keeping).