Sound stage on LCD-X is actually not bad if compared with other planars but when compared to HD-800/T1 then you will notice the differences. But as I said in the previous post, the genre of the music plays an important part in which headphone I will listen with. If you listen to mostly pop, rock, R&B, country, and even some jazz then the LCD-X does a fairly good job with them, but if you like classical, jazz and blues (provided they are well mastered/recorded) then something like the HD-800/S, T1 or Stax will be a much better choice.
As for the HD-600, I would not suggest it paired with the Lyr2, not a very musical combination to me, it can be a bit on the bright/harsh side. Even if using warm tubes the HD-600/650 with the Lyr2 is not something I would listen to or recommend. Both the HD-600/650 sound best with OTL tube amps like the BH Crack or WA3 but you will need get a little better tubes for both. This is where many say some pairing have great synergy, the BH Crack and HD-600 or HD-650 is one of those, about as good as you can get for under $1500, and to be honest, I would chose this over the LCD-X and even my SR-009 and HD-800 if you just want to enjoy the music. If you are looking for the most detailed, resolving, neutral then the SR-009 or HD-800S are hard to beat.
I've been looking for a end game DAC/amp that would power everything well but its in the $7000+ range, the 2 amps are EC Balancing Act and Liquid Gold, DACs are MHDT Pagoda and AudioGD Master 7. Since my wallet is not that large I've been looking at Elise and Heron 5 as amps and MHDT Stockholm2 or AudioGD DAC-19 for the DAC. I'm also still taking with my friend about buying is Liquid Glass from him but this is a long way down the road.