Show me the polar nature of the polymer under discussion Hammehead. Diagram it out.
An aromatic solvent like high purity benzene will work well for polymer formed by gasoline gums, but is more hazardous to work with and dispose of.
A non-polar solvent like carbon tetrachloride will also be a much more effective solvent for such material, but again will be much more hazardous to work with and dispose of. It was the dry cleaners' solvent of choice for many years before tighter regulations came into being.
So no, the statement that polar solvents are poor solvents for gasoline gum materials is nowhere near wrong, and I do believe you are the one who remains confused.