I have never seen nor heard of a dog that "responded better to physical correction".
Watch a mother training puppies, or older puppies being socialized by several adult dogs. It's all a matter of degree, and the type and intensity of a stimulus required to evoke an attentive response and apply a correction. I have seen a prong collar used well, though I rarely use one.
if used correctly, the prong is supposed to mimic the none painful correction given to a puppy by its mother.
Except that it doesn't. At all.
For someone who was claiming a while back that you wanted to go to school to become an applied behaviorist, perhaps some research on the basics of operant and classical conditioning and the fallout of positive punishment would do you well...
Except that punishment does play a roll in conditioning, although it is rarely applied by itself. It can influence motivation and value judgements. Nothing in operant or classical conditioning precludes it, it just doesn't use it in the pure form. Overall, I would apply the LIMA principle (Least instrusive, mimimally aversive).
This whole issue on aversives tends to be taken as black-and-white by too many people. Some aversives may be needed to prompt an attentive response and apply a negation to the behavior, while a replacement behavior is applied using positive reinforcement. Again, LIMA applies. There are no single, sweeping answers here. Further, when giving advice to people, I usually visit them and watch them using that advice. Some people are better at applying some approaches than others, and the "best" approach may not be useful at all if they simply cannot follow it closely enough.
At a local shelter a volunteer was struggling while walking a dog. I switched dogs with her and, a few minutes later, this dog was walking calmly. I explained what I was doing then returned the dog to her. A couple of minutes later, the dog was strongly pulling again. I have seen this one many times.
Unfortunately for you there is actually a right way and a wrong way. Positive punishment, intimidation, and coercion are scientifically proven to be ineffectual at best and abusive at worst.
Again, that sounds very black-and-white. By themselves, I would agree with you. However, in small doses, they each have their part. I recently used intimidation by holding a squirt bottle in front of a dog to prevent him from biting me, which provoked enough of an attentive response that I was able to introduce a conflicting alternative behavior along with positive reinforcement of that behavior. Within a week, the squirt bottle was rarely needed. The squirt bottle was not to change his behavior or punish him, but only to produce an attentive response.
This person is right in that "purely positive" is not really a "thing". It is impossible to train, or in fact deal with a dog (or any other animal) and use ONLY positive reinforcement.
MarMar, thank you for stating that! So many people seem to miss that point.