I think it's difficult to approach a problem with a Depth-first Search mentality without using "Strong Opinions, Weakly Held". If one goes in with "weak opinions" it's easy to find oneself constantly backtracking and checking the other nodes early on in the chain of assumptions and doing a mental Breadth-first Search instead.
That's not to say that it's the right approach for every situation, but for problems that will have a lot of dependent unresolved assumptions "Strong Opinions, Weakly Held" is sometimes necessary to maintain focus to break through the problem.
That's not to say that it's the right approach for every situation, but for problems that will have a lot of dependent unresolved assumptions "Strong Opinions, Weakly Held" is sometimes necessary to maintain focus to break through the problem.