The outcome really isn't that dire.
The most notable difference is the console's 30fps - with some stuttering - and the PC's 60fps. If you have the right hardware, you're in for a real treat on PC.
Motion blur is another area where the PS4 lags behind when compared to PC on high settings, as well as shadow quality, although it's not drastic enough to rend your garments over. Other than that, textures and lighting are exactly the same across the two platforms.
So depending on your eye for detail, the drop in frame-rate is the only thing you should lament. But I doubt you'll notice once you get stuck in.
If you're wondering about the differences between the Xbox One and PS4, you can check out another comparison video here.
Dark Souls 3 is out tomorrow, April 12, on PC, PlayStation 4, and Xbox One.
Don't forget to check out our Dark Souls 3 guide and walkthrough if you need a hand.