So how did the term "fully accredited" originate? I found some uses of the phrase "partly accredited" on the Web. Some of them refer to students midway through a program when it becomes professionally accredited: http://www.icheme.org/membership/chartered.pdf Others are about grade schools, and I don't understand them: http://www.ossaa.com/partners/ossaa/rules/rule8.html
I know of at least one recognized agency, the American Academy of Liberal Education, that uses the term "preaccreditation" for its candidates. Preaccreditation allows these institutions to participate in federal financial aid. Tony Piña Faculty, Cal State U. San Bernardino
If CCU achieves DETC accreditation and is allowed to "teach out" their remaining doctoral students, I think this would be a good example of a school that is "partly accredited." Their doctoral programs would specifically be excluded by their accreditation, but all other programs would be accredited. A similar current DETC example is UNISA. In its listing for UNISA, DETC states "(Note: DETC's accreditation is for courses, programs through the first-professional degree level only.)" Academic doctoral degrees from UNISA are not accredited by DETC. In this case it is certainly not related to the quality of those programs, but to the accreditation authority of DETC.