This study proposes supplementary performance indicators to support approach-level interpretation within the current Smart Intersection System (SIS) evaluation framework, and examines their interpretive characteristics through real-world case studies. While existing Intelligent Transportation System (ITS) performance evaluation standards assess the accuracy at the lane-level direction unit, practical traffic operations often require a comprehensive understanding of the performance at the approach level. To address this limitation, three supplementary indicators were developed: traffic-weighted approach accuracy (TWAA), which reflects the average performance considering traffic exposure; bottleneck-based approach score (BAS), which identifies the lowest-performing lane-level direction unit; and the approach reliability index (ARI), which evaluates the overall operational stability based on threshold compliance. Case study results demonstrate that the proposed indicators provide complementary insights using the same raw data. The TWAA reflects the operational influence of dominant traffic flows. The BAS reveals localized deficiencies that may be masked by average-based measures. The ARI identifies whether the performance is consistently maintained across lane-level direction units. Rather than replacing existing evaluation standards, the proposed indicators serve as a multidimensional framework that enhances the usability of performance data in decision making. These indicators can be applied in a complementary manner depending on the evaluation objectives, such as administrative acceptance, operational efficiency, and maintenance prioritization. Future research should further validate the framework under diverse traffic and geometric conditions, and extend its application to intersection-wide and network-level analyses.