I grew up in midwestern suburbs where Bradfords were planted with great enthusiasm. I can see the appeal, they have neat symmetry, create no mess besides the leaves and don't get too big. Their semen-like flower scent filled the air in the spring, and they were drawn and quartered during the summer storms or winter ice.
I have fond memories of watching a massive summer storm from a friends bedroom and witnessing the moment his front yard Bradford split in half. The same tree would later split in half again during the winter. Invasive or not, Bradfords will always hold a special place in my heart.