“Unfortunately, the situation materially changes when the alleged abuse is verbal or emotional and the husband objects. Absent black and blue marks, welts, swollen eyes etc. the victim of non-physical abuse must elicit testimony from third-parties to overcome her abusers objections to offering a get.”
As I’m sure we all know, many such allegations are nebulous or untruthful, being alleged (and that’s often the keyword) in order to secure unwarranted gain in the legal proceedings. As such, the Shulchan Aruch is very clear that Beis Din cannot accept an unproven claim without witnesses. It isn’t like in goyish courts where they’ll take whatever the (often underqualified, biased or incompetent) judge thinks sounds more “credible”.
There’s good reason why Halacha prohibits Jews from utilizing non-Jewish courts. What is very unfortunate is that the Hamon Hoam sometimes accepts allegations at face value. The Torah doesn’t accept public opinion as a basis for judgement.