I still think the most likely cause is radiation pressure rebounding back from the terminal shock at the heliopause. As the solar way and reaches the end of its "sphere of influence" (which is not really a sphere, but... well, you know...) it collides with the dominant "galactic wind." This collision since energy back "upstream" along the solar wind (in accordance with the properties of energy feedback in a supersonic fluid), which then exerts a pressure that pushes objects back toward the sun from all directions, most mimicking a slight increase in the force of gravity from the sun.
The problem with this explanation, of course, is that the exhilaration should not be constant but slightly increase as objects get further from the sun and closer to the heliopause.