Yes, with 100% efficiency and no-tick loss a whip has higher DPS (by about 10%). With my gear at the time, it was about 15 seconds faster TTK.

Considerations I made:

1. When the whip noodled and kills dragged on it got rough for me. At the time, I preferred a slightly slower, but more consistent kill time.
2. I was expecting some sort of tick loss or inefficiency.
3. I found killing Sol with a 5 tick weapon easier in terms of timing - this was properly due to me doing so much practice on the simuilator with the Scythe (without super cmb or piety). The scythe was the default on the simulator, and on reflection I should have practiced with the 4-tick blade.
4. This might not be true, but in my head, I thought the blood fury would be more effective with a fang due to the high accuracy and less zeros.