He can cancel his normals into hyper jump, only his normals that can be super or special canceled, this rules out cl.D and s.D, everything else will work (not, not his command normals f.A and f.B)
Thing, in order to cancel into a HJ, you don cancel in the active frames like you would from a cl.C into qcf.A or anything like a normal combo speed. instead, you cancel in the recovery frames, or, just after the active frames are over, when you feel you lost the window where you can cancel into a special or command normal, that is the ideal window for the HJ.