Cool core fractions (same as Fig. 2) but using a different temperature ratio threshold. The vertical dashed line corresponds to M_500c = 0.7 ⋅ 10¹³ M_⊙, above which the eFEDS survey is expected to be complete for redshifts below z < 0.3 (Comparat et al. 2020). Left panel: Mid-to-strong cool-core fractions determined by the number of clusters for which the temperature ratio between the total temperature, including the core region, and the core-excised temperature is less than 0.98 (Tx₅₀₀/Tx_500, cex < 0.98). Right panel: Strictly strong cool-core fractions determined by the number of clusters for which the temperature ratio between the total temperature, including the core region, and the core-excised temperature is less than 0.95 (Tx₅₀₀/Tx_500, cex < 0.95).