There actually are dipole subwoofers---the OB/Dipole Gradient offered in the 1980’s for the QUAD 63, and the OB/Dipole now offered by Rythmik/GR Research. It consists of a pair of 12" OB-specific woofers mounted on an H- or W-frame---an open baffle, dipole sub with the Rythmik Servo-Feedback system, the only such sub in the world.
Ya’ll know Duke is a subwoofer expert, and his statement that dipole subs have smoother in-room bass than monopoles is, contrary to shadorne’s claim that "at these low frequencies they behave as an omnidirectional source"---an incorrect and mistaken notion, absolutely and incontrovertibly true.
A dipole sub has a null to either side (just like dipole speakers), propagating bass and bass-loading the room in one less dimension than an omni---not the width of the room. Consequently, fewer room modes are excited---less bass boom. That is an advantage inherent in dipole subs, and dipole speakers as well.
An OB-type dipole sub has one additional benefit---no sealed or ported enclosure to itself be a source of resonance or boom. As I described above, an OB sub has it's woofers are mounted on an open baffle, not in an enclosure. Lean, clean, and pristine!