1.9.6.1 was released immediately after 1.9.6.0 to patch a couple of problems. Either should work fine as long as there is no DDoS attack on the HB Auth servers.
Many of us got 1.9.6.0 to work, and didn't want to 'upgrade' until things settled down again. That's why you see people recommending 1.9.6.0 instead of 1.9.6.1. But, 1.9.6.1 should be good, and its the 'most recent' one that works with Zeus CC's.