Lets have a look at the assumptions in this reconstruction, assuming it is not a real neanderthal.
The soft tissue on the nose and lips - he could have a flat ape-like nose and lips on the inside of his mouth like all other primates.
The hair - why does he have to have long hair like humans ? He could have had fur like other primates.
The ears - could be any shape.
The main assumption driving this image is that we evolved gradually, but this has turned out to be false for even a major characteristic of walking upright. We walked upright even before we came out of the trees fully.
Modern humans still have as much hair as we ever did, but most is depressed into being fine and minute. The nose, the lips, the depressed hair, the long hair on the head AND SWEAT GLANDS all over our body are characteristic of modern humans but when did these things evolve ?
Until we know these things it is pointless to say neanderthals look like us.