Can the leech access this memory, look at it as something distinct, apply it to itself, and ponder it as such?
No, it cannot. But all that proves is the obvious - that the animal doesn't experience pain anywhere near as deeply as we do. But its still enduring damage, and it's capacity to function is still potentially being undermined, which in that organism's own context is profoundly negative. If you define suffering only in the human context, then clearly no animal suffers besides humans.
We need to agree on a definition of suffering we can apply to the entire animal kingdom, if this is to be an ethical debate as I think the original poster intended.
Granted, the dog's reaction to such an insult will be more complicated then that of a leech, but they are still the same in that neither creature KNOWS that it is being injured, much less has the KNOWLEDGE that it has been injured in the past, and much less the ability to activly link the past with the present (and contemplate the future). I think all of these are required for "suffering"
About your requirements for suffering:
1. knowledge of injury
Alright, so let's say a dog doesn't know that the damage being wrought upon him is injuring him, and isn't conscious of its repercussions. In other words, let's say he doesn't understand the negative influence of pain, b/c his mind is so rudimentary he doesn't even have a concept of positive-negative duality. All your argument proves is that he doesn't suffer as humans do. His cells are still being destroyed, and his capacity to function is still being undermined, but beyond the experiece of a plant - he still feels stress, desparation, and agony in that moment. Also, depending on the severity of the injury, his body will continually stimulate his brain about an injury that is not going away, to alert him of the necessity to carry on in a manner that will maximize his chances of healing and survival. He does not understand this profoundly, but he feels PAIN nonetheless. The neurological equipment shared among humans, dogs, chimps, and higher orders of animals is homologous enough so that seering pain is still seering pain across the board for all of them. In that moment of contact with a hot flame, all vertebrates feel the same thing, it would be inefficient for humans to feel anything else but "****, get off me!", as with all other vertebrates. Likewise, recovery periods exert similar stresses on all vertebrates, simply because their physiology needs to keep them aware that they are injured and not entirely effective.
In light of this, I think the ethical question is still valid, and the act of causing this pain weighs on one's conscience just as heavily.
2. memory of past injury
3. link past to present
I think these still fall under classical conditioning, which is universal for all animals.
As for contemplating the future... Dogs don't "contemplate" anything, but how is it they can still lay by the door at a certain time everyday, expecting their owner is going to return at the same hour she always does, anticipating the sound of a key clicking into a lock, with precise consistency? I'm sure if you hooked it up to apparatus about 30 mins before that regular daily time, you'll see notable increases in all sorts of neurotrasmitters associated with emotion. In other words, its processing a notion of the future in emotional terms, however basic. Its not as mathematically complex as our own neuroloigcal reactions, but its still life, complex life, complex enough to be morally inconvenient for some of us to destroy.