Art Chadwick's Cattleya book mentions that C. lueddemanniana typically makes growths in the spring and in the fall and it can flower in the fall on the second growth. I guess it rests until late winter.
In my case, it flowered in April (spring growth), finished a growth in September (fall growth, no blooms), and it did not rest. It completed another growth in late Nov (winter growth?) and flowered just now.
I grow this one indoors all year long and I do not change the time the grow lights are on. I have a few lueddemannianas and they all seem to do the same thing. I guess it does its own thing without strong environmental cues.