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Accelerating the in-depth integration of media to achieve high-quality development in the media industry has become important for China's cultural media. We built a high-quality development index system for China's media sector and used financial data from A-share media industry listed companies from 2017 to 2020 to measure the high-quality development index of China's media business using the Global Malmquist-Luenberger production function method with the framework of the SBM model degree. We used the generalised method of moments model and the single-threshold model to estimate the threshold value of the media convergence degree and its factor distortions. Deep media integration can promote high-quality development in the media sector. However, insufficient and unbalanced development of media integration is the main hindrance to China's high-quality development of its media.