It's not quite like that. What methods we choose is dependant upon what our dogs NEED. Thinking about what motivates your dog is a good start. Treats? Or, with a dominant dog-- do treats cause disastrous results by the dog becoming too pushy/irritated/snappy? Does play motivate? For some dogs, a ball reward is great-- for others, they get so nuts if you don't toss it calmly, that they "loose the lesson." Praise as a motivator? Great-- but which TONE is needed-- some dogs love a cheering section.. other dogs fall apart with over-excitement unless we use a sooooothing tone.
Next, corrections-- some dogs are sentitive, and barely a voice correction does it... the other end of the spectrum are dogs who are so high strung, so hard, so distractable, so extreme-- that in any situation other than a calm livingroom, it nearly takes a 2 x 4 to get their attention. Building a foundation of focus helps with these dogs, but will never make them as responsive to a weaker correction as a more sensitive dog. The type of corrections will depend on how handler-focused, how hard, how sensitive, how responsive to the handler's moods the dog is.
I'm saying, that in large part the genetics of the dog choose the methods we need to use. If you HATE the idea of using food and that's what works best for your dog.. oh, well. The same with tough corrections-- the dog needs to be able to "hear" them. The gentlest possible may be more than you expected with a very hard, distractable, tough dog.
We don't get to choose what our dog needs.
Friendly dogs come in all flavors, and dogs needing tougher methods can be just as happy, loving, and well-loved... heck, almost spoiled.