I think I ran the original on an OC'd Q6600 and 8800 GTX and it was still a struggle to keep reasonable framerates.
That was a good time for shooters -- not only did Crysis graphically shine, but the AI on the hardest difficulty seemed a step above most other games for the time as well. They flanked, called out your last known position to other enemies within earshot, spoke only in Korean. A lot of things similar to FEAR that brought an illusion of intelligence. I do remember the helicopter being able to see me through a forest while I was invisible though, so there were a few unfair parts.
The remaster looks interesting, but like Creepin I'd be more interested if it were available outside the Epic Games store and included the much more fun Crysis Warhead expansion as well.
I do find it very interesting that the game seems to run in DX11 with some Vulkan interop for the raytracing bits instead of just doing the whole thing in Vulkan like I'd hope any modern game would.