Some attacks on White that I have read by Latter Day Saint apologists have addressed White's using the ThD after his name. These attacks claimed that White did not earned his doc in a standard manner as eg having a qualified doc committee and writng a scholarly dissertation which contributes in some original way to the literature re the topic.
The claims have been made that only Walston was White's committee and that White's CES degrees were granted merely for composing popular sort of books which White may have already much written prior to even beginning the degree program(s). I don't know that this is true, but I've not seen those attacks convinvcingly rebutted. It seems that counters could simply be made by naming the committee members and producing the dissertation.
As Nord says, this exemplifies one reason why our academics should be credible to those outside the Church not to just those who are of our own precise religious convictions. IF we choose to interact or minister to those outside our closest religious relatives using our degrees after our names in that interaction, then those outside have every right to question us about the degrees we opt to list. And those who minister, including IMO their degrees, need to have a good repute to those outside ( 1 Tim 3).
In the case of CES, unless things have recently changed, whether fair or not, a degree from that school on the Columbia cannot even be used in the neighboring state of Oregon on the other side of the river , in many contexts, because, as I understand it, that school does not meet the standards of the ODA. This is not clear evidence that a student may not do good work at CES and learn well.
But if CES enjoys sufficient substance and rigor to regularly produce scholars of White's caliber , then White could counter the Mormon attacks on the credibility of his alma mater by saying, "Oh yeah, well our grads have entered and completed RA doc programs because of the learnings at CES and CES grads with CES docs teach at RA schools--so there!" But I haven't seen that argument used, so I suppose, it would lack factual data to make it convincing. But then, the lack of that data is what makes White's doc the subject of attack.
It would seem to me that White contributes very much and very well to the Church. It would be interesting to know whether the coursework and dissertation at CES made him that scholar or whether White's reputation does more for CES than the CES learning did for White.
In regard to "debates" I wonder whether these are "mano y mano" or whether one such as White has a busy staff doing the bulk of the research.
Of course, good exegesis, cohesive theologizing , and convincing rhetoric should be the criteria for winning debates about Christian beliefs, but , the point is, putting a ThD after one's name opens up the more general discussion to the realm of academics. Then the question is raised, maybe unfairly,is the message credible if the messenger's degrees are not?
In addition to the soundness of his Gospel , Paul also had his credible signs to evidence his claim of being an Apostle of Christ; it also helps to have ,in addition to the soundness of rhetoric. a credible program of study to evidence a claim of being a Doctor of Theology.