KDEs of orbital parameters (e, P), the RV semi-amplitude K, and fractional radius R₁/a for the binary population identified by the Gaia TBO for solar-like oscillators. The distributions are grouped by evolutionary stage, with the rightmost violin in each panel split to show RC (teal) and 2RC (purple) stars. Dots and vertical bars indicate the median and interquartile range (25^th–75^th percentiles) of each group. Horizontal dashed and dotted lines in the top panel mark the Gaia DR3 time baseline (1034 d) and the ∼500 d upper limit for binary interaction during the RGB phase for stars with degenerate helium cores. The shaded gray region in the bottom panel marks the regime of strong tidal interaction (R₁/a > 15%).