Generally yes, the general learning and problem solving mindset is going to help more than teaching "do this to do that" by rote.
But in any specific subject you need a certain level a basic knowledge taught that way before you can be expected to use the tools available (and potentially discover more) to problem solve.
I should have been more clear. My conjecture is that if we trained students on learning theory specifically and directly, they would understand the "suffering and pointlessness" of duplicating failed solutions. They would more openly embrace experience (failure) as necessary didactic tool.
Destigmatize not #winning and embracing experiential learning.
But in any specific subject you need a certain level a basic knowledge taught that way before you can be expected to use the tools available (and potentially discover more) to problem solve.