In answer (supposition?) to your question, I believe eye lock with a dog has the same effect as with a human. The alpha will attack immediately, the "puffer" will make a tactical withdrawal.
Surely you've met dogs (especially little ones) who only attacked when you attempted to retreat.
As for me, perhaps I need to work a ribeye steak into my daily carry attire...it would certainly give one the opportunity to effect a leisurely pistol presentation. Heck, if you're quick enough, you might even be able to reuse the steak!