Through out the 12 seasons, the Stabler Living room went through many changes- you would think that Kathy has some kind of interior decorating addiction.
Starting in season 1, the living room was an open room that shared it's space with the kitchen and a casual dining room (breakfast nook?).
The couches in season 2 are different from season 1- a complete makeover!
Where's the two chairs facing each other like in Alternate? Even the Grandfather clock, hat stand have disappeared until reappearing in season 10. However that painting (with the orange background with the red print) also has a strong presence in Blinded (you can see it above pass Casey's right shoulder) in Alternate and later Wildlife
However the Alternate/Wildlife chairs seemed to have disappeared and a different couch is there instead. Looks different from Blinded as well as other episodes after
In the picture below, note that there's a little side table with a lamp over Kathy's shoulder. The beginning of making up a den? Prior to Gray, the room behind the living room always seemed to the (really nice-style) dining room set.