We investigate the measurability of effective inspiral spin in the detectable compact binary mergers using gravitational-wave observations. Measurements from the latest gravitational-wave transient catalog do not rule out the existence of binary systems with non-zero effective spins. However, we observe an apparent correlation between the inferred effective inspiral spin and the loudness of the gravitational-wave events-loud events typically have close-to-zero effective spins whereas fainter events tend to be inferred with relatively arbitrary effective spins. Through simulations, we demonstrate that non-negligible effective spins can be systematically inferred from non-spinning systems at small signal strengths. These two observations support the possibility that the effective spin magnitudes in the observable compact binaries are generally small. Future detections can have potential impact on the understanding of their population and other astrophysical inferences.