That means that each single key may correspond roughly to 2256 / 2160 = 296 addresses, right?
Roughly each address can be accessible through the set of 296 keys.
Your first statement is the wrong way round, but your second statement is correct. There are 2
96* private keys per address
if they are all distributed evenly.
*Actually slightly less, since there are slightly less than 2
256 total private keys, but the difference is minuscule.