Nails and hair are not skin. Shivering is not a skin reaction, it's muscle contraction.

To me, a suit is something that allows to perform the same functions you could perform without it, only with extra protection. And you can live without a protective suit in a safe environment. But you can't live without skin in any environment, and it has a lot more functions than simple protection. The most crucial is probably skin respiration. It also has sensory, excretory, metabolic/endocrine (vitamin D synthesis) functions, acts as blood storage...

I'd say, if you want a bio-suite, don't just go skin-deep, go for whole body as a suit for consciousness.