The “towards the center of mass” force, will grow with the square of the distance reduction to the closest bunch of mass(es)
This is the key point of my question because the mass m of the “bunch of mass” that is close to Venus will be less when you consider the density p with m = p * V, where V is just the volume of mass that is close enough to Venus. Assuming the Suns density is uniform (which it isn’t, most of the mass is far away from Venus), p and by extension m and by extension F (the gravitational force) are proportional to 1/r³.
Unfortunately, the actual calculations are far too hard for me, but my intuition would suggest that the 1/r³ relationship of density and volume would outdo any other factors here.
Must be binary…