The OP video notes that the PC original has a more impressive, and IMO aesthetically pleasing appearance. The changes were pervasive and nuanced and sometimes positive, sometimes negative. Something I've noticed is that a lot of people who might otherwise be really knowledgeable about fine details in Crysis don't recognise elements of the console versions when they see them.
So likely something went wrong during the (rushed) porting process for the PS3/360 versions. A lot of CryEngine systems like terrain, cutscenes, animation, first person weapon animation systems, etc, all changed drastically with CryEngine 3 and also later versions of CryEngine. The OP video notes this, but seems unaware of where this problem originated. The way the muscle fibres move is distorted. The problem is that they're clearly animated wrong. See the problem? The nanosuits are fine in terms of art assets, poly counts, etc. Compare these to the footage above, when Psycho knocks the door down.
And it's a problem directly inherited from the 2011 version(s). There is a clear problem with the nanosuits in this remaster. (Including the fact the Scar doesn't just have a different sound and muzzle flash. For example, the super glossy nanosuit in the outdoor scene corresponds to it looking strange in the original game for a few seconds. This is actually a fairly well done breakdown, and it rightfully points out that a few issues seem to be bugs in the original game manifesting slightly differently now.