Depends on how it's being fed. A tuned loop design can drive the loop against a ground via series feed (resulting in vertical polarization) or via a balanced feed, resulting in horizontal. In the case of a balanced feed being worked very close (in terms of wavelength) to a ground plane, there will be a significant high-angle radiation lobe.
While not a true DDRR, for purposes of discussion the latter method is very similar in concept.
An ideal implementation would use vacuum relays to change the feed method and a pair of motor-driven capacitors to resonate the loop in each mode.