If we assume that there are ~2⁹⁶ private keys for EACH bitcoin address (2^256-160) and we assume that  in cryptography it is considered good property of every hash function if it evenly distributes the values in its co-domain (co-domain of the SHA256 function is the domain of the RIPEMD160).

Does that means that HALF of the ~2⁹⁶ private keys is in first 2¹⁵⁹ and other HALF is in 2¹⁶⁰ - 2²⁵⁶ space?