Conjecture on shrinking stability domains for fractional-order Mandelbrot sets

Let $q<0.5$, let $S^q$ be the stability domain of the fixed points of the fractional-order Mandelbrot set (FOM), and let the main body of the associated fractal set be understood in the numerical representation used in the source. Stability-domain shrinking conjecture. The surface of the stability domain $S^q$ of the fixed points of the FOM shrinks compared to the main body of the fractal set. This is presented as a numerically sustained conjecture based on the observed behavior of $S^q$ for fractional orders below $0.5$; no proof or resolution is supplied in the source.