In this paper, we have done thorough mathematical analysis and extensive simulations on the distributed, lightweight and location-free node scheduling scheme proposed in [11]. The basic idea of this scheduling scheme is to organize sensor nodes into disjoint node sets, which work alternately to extend network lifetime effectively. Distinguished from the work in [11], we reevaluate the performance of this scheduling scheme under different assumption that sensor nodes are deployed randomly in the target region according to a Poisson point process, which is a more realistic deployment model in large scale randomly deployed sensor networks. We also analyze the performance in terms of average event detection latency, which is another straightforward coverage quality measure. Our analysis results reveal the relationship among coverage quality, expected network lifetime and node deployment intensity. Impact of normally distributed time asynchrony on network coverage quality is also investigated.