Calculating Reasoning Path Score

Consider two reasoning paths, Path A and Path B, generated to solve the same problem. Path A consists of 3 steps, all of which are classified as 'correct'. Path B consists of 5 steps, where 4 are classified as 'correct' and 1 is 'incorrect'. According to the scoring formula $r(\mathbf{x}, \mathbf{y}) = \sum_{k=1}^{n_s} \delta(correct, C(\mathbf{x}, \bar{\mathbf{y}}_{\leq k}))$, which of the following statements is true?

Critique of a Reasoning Path Scoring Method