Have you seen question 3D Printed Sphere, How to Remove Roughness? Although the question is centered around the roughness, not the supports, the answers hint to a solution for this question.
If you look at the answers, you see that in case you have have unsupported perimeters (see image below), they sag out (as seen in your print where the lower perimeters of the sphere are not perectly round) and may fuse with the support causing the support and the perimiters (walls) to bond quite well.
Furthermore, if you use too few perimeters and a low infill percentage, the print object will become weak and have an increased change that removing the print from the plate or the support from the print cause the print to break.

Picture credits to Trish, this is 180° rotated