A paradigm shift from a linear economy to a circular economy is necessary to reduce the environmental impact of global production systems and minimize the use of non-renewable resources. Manufacturing industries are one of the driving actors in the shift to a circular economy, and decreasing the material intensity of production continues to be a significant focus. In this regard, Manufacturing-as-a-Service (MaaS) has been proposed as a means for realizing the circular economy due to its potential to decrease production material intensities through competitive resource sharing. Although indicators for benchmarking circular economy progress in manufacturing industries are plentiful, limited consideration has been given to the data burdens associated with computing and reporting such indicators. This paper investigates the role of MaaS systems in the transition toward a circular economy and subsequently presents a circularity indicator screening tool applicable to manufacturing industries and MaaS providers. The tool disaggregates nano-level circularity indicators, including the mandatory circular economy indicators specified in the ISO 59020:2024 standard, enabling users to screen and align indicators with their circularity goals and available data.