I understand your question, I hope I can explain:
The main difference between sandy and clayey behavior is short term-long term behavior. In short term, loads are carried by excess pore water pressure in clays. However, in long term, when excess pore water pressure dissipates there is no difference: Both NC Clays and sands use friction to carry shear.
But OC Clays? There is another term in long term behavior of OC Clays, APPARENT COHESION. This is not cohesion. But, experiments show that even at 0 stress, OC Clays can carry some shear. This is defined as apparent pressure.
To understand this, we need to look closer to mineral structure of clays. OC Clays are consolidated through geological conditions or previos loadings. This bonds the material in a way that even you do not apply any stress, it holds together. I know I couldn't explain it clearly.
So, the question you should ask is not why NC clays behave like sands. It is normal, we shouldn't expect to soil particles hold each other without any stress. What is weird is OC clays, this is why this c' is discussed very much.