quetzalpapalotl:

Let us appreciate that time Venom deviced a plan to render Spiderman unconscious and, instead of killing him right there, they dragged his body to a deserted island specifically researched so that they could have their Ultimate No-Holds-Barred Beatdown because Eddie Brock is just That Much of a Dramatic Bitch.

The fact that the Symbiote went along with this proves that having a fulfilling relationship with Eddie its a priority over killing Spiderman.