Correct articulation and inherent qualities form the foundation of recitation. A pleasing voice, fine delivery, and further refining rules may be valuable, but they must not distract from preserving the letters themselves.
A reciter may have an attractive melody while replacing ح with ه or ص with س. Vocal beauty does not repair the lost consonantal distinction. Conversely, a less melodic reciter may preserve the essential letters accurately.
A sound order of learning is: establish makhraj, ensure inherent qualities, and then refine the additional Tajweed rules and quality of performance. This gives appropriate priority to the fundamental purpose of the discipline.