Comparing the JVC to the Sony, immediately above, the JVC is definitely doing a bit better blacks on this scene. Keep in mind, while this is a space scene, it's not an extremely dark one. There are plenty of mid brightness and some very bright areas, unlike, say, the Casino Royale night train scene below, where there definitely seems to be parity.
For the rest, of our comparison images, they are well overexposed, some have been converted to grayscale for your convenience (the slight purplish-red color varies a lot from one projector's image to another, so grayscale makes it easier to compare:
Don't sweat it, there's plenty of dark shadow detail there. We really are talking very subtle differences, when actually watching content. In the train scene below, it's not exactly like you are staring at the shrubs when the scene is playing. You are watching the train, and it's headlight (the brightest thing on your screen at that point.