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The paper investigates the impact of sample points on SINR-based m-coverage probability in the context of 6G networks, considering the evolving landscape of mobile network architecture. Signal-Interference-Noise Ratio (SINR) is a critical metric for assessing cellular network performance. Conventionally, it is believed that increasing sample points significantly improves SINR coverage probability, especially within the range of 2^6 to 2^10. To explore this assertion, advanced simulations are conducted in both single-tier and multi-tier networking scenarios, employing the Poisson point process to spatially distribute nodes. The evaluation focuses on SINR values less than 1, using five distinct sample points. Surprisingly, the results reveal a remarkable finding: beyond an increment value of 2^2, increasing sample points has minimal impact on SINR-based m-coverage probability for both single-tier and multi-tier networks. This intriguing observation challenges the traditional understanding of the relationship between sample points and SINR coverage probability. The study's insights have significant implications for designing and optimizing 6G networks, guiding network planners in making informed decisions regarding resource allocation and computational tradeoffs. As 6G technology ushers in a transformative era of interconnectedness, understanding the saturation point of SINR coverage probability becomes pivotal for unleashing its full potential, fostering global connectivity and enabling innovative applications. [ABSTRACT FROM AUTHOR]