A little of all 4: I love the classics and enjoy working with proven techniques. I've spent 25 years working on process and techniques, narrowing down what works and what doesn't with my system. I have brewed many sours with wild yeast/bugs, commercial strains, and combinations of the 2. And I love experimenting with smoke, fruits, homegrown ingredients, etc. And I think most homebrewers use elements of the 4 groups, with each person deciding which of the 4 will be dominant.
I look at it from a different perspective: Are you a technical, or an artistic brewer? Does hitting the numbers spot on every time turn your crank, are you obsessed with measurements? If you you're technical. Do you measure grain by scoops, and hops by handfuls? If so you're artistic-you have a vision of what your beer should taste like, and a decent idea of how to get there, but you recognize that precise measurements on most brewing aspects aren't really that critical.