I think the game itself, is told here enough, the question is rather why not purchase if you have the PS3 version yet ???
For me a very clear: YES !!!
Certainly not at full price, but the price is currently offered, is absolutely ok. Lara is soooo much nicer, the textures are sharp, detailed the environment, to Lara can be seen every single hair, the facial expressions and gestures has been improved, the whole game just looks just great! Since some PS4 games can really something of cut)
If anyone still does not have played the game, I can only recommend all the more!