Nonnormality of Data in Structural Equation Models

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Robust factor analysis in the presence of normality violations, missing data, and outliers: Empirical questions and possible solutions (2014, background): “Gao, Mokhtarian, and Johnston (2008) suggest that researchers identify and remove outliers that most impact on a sample's multivariate skewness and kurtosis; finding an appropriate balance between full data that could generate an untrustworthy model, and a trustworthy model with limited…”
Women's Perceived Empowerment in Entrepreneurial Efforts: The Role of Bricolage and Psychological Capital (2019, background): “The data are normal when its Skewness and Kurtosis have values between 21 and 11 or closer to zero (Gao, Mokhtarian, and Johnston 2008).”
Do hotel employees really care for corporate social responsibility (CSR): a happiness approach to employee innovativeness (2021, background): “The structural equation model does not assume normality (Gao et al., 2008).”