Timescale of the primary granulation component against the oscillation timescale v_max, indicating a decoupling through a plateau beyond v_max ≈ 3000 μHz. The plotted values are those estimated by the background model preferred by the Bayesian evidence 𝒵. The Kepler sample is replotted from Fig. 6. The TESS K-dwarf additions are shown as the triangular points with black outlines. The Sun is shown as the dark orange star symbol, obtained using a ∼3.15 year time series from VIRGO (Fröhlich et al. 1995) blue band data taken during the solar minimum between solar cycle 23 and 24. Lastly, a STAGGER (Stein et al. 2024) 3D hydrodynamical simulation replicating the K-dwarf ε Indi A is shown as the purple diamond. The colouring indicates an S/N-proxy as the ratio between the estimated granulation amplitude level and the white noise, where stars exhibiting higher degrees of contrast are darker.