Is it enough to focus on the student’s perception and try different approaches in order to indentify easier and faster appropriate methodologies for each context?
For me, they serve as a starting off point. But if the researched interventions, assuming they are applied appropriately, do not work then yes, it becomes time to try offshoot methodologies. We are all aware that even the best researched methodologies have limitations which affect their generalization. As a former teacher, it seems to me a lot of my students fell outside the "participant" descriptions for a number of studies. Ultimately it's about finding the best fit for the student, and not trying to make the student fit the pedagogy.
Each student has their own unique learning style. It is up to the teacher and school to recognize this and accommodate the learner's particular learning style. Students who are uncomfortable with an incompatible teaching style will show signs of boredom and/or futility which would destroy the opportunity for that student to learn.