Wyttenbach has claimed to have experimental results to back up his theory. If I remember correctly, we haven't seen them yet. Maybe sometime soon we will?
It is difficult wresting sensible answers from Wyttenbach, but I think he has indicated that some of the material he posted in Dec 2021 on ResearchGate (here) contains experimental confirmation of predictions from his SO(4) theories. In the manuscript, which also bears Russ George's name, he presents gamma spectra taken from fuel said to be undergoing LENR. He says that his theories predict the spectral lines that are observed.
The manuscript is poorly written. What is claimed in the text often does not match what is shown in the tables and badly prepared figures. In the manuscript Wyttenbach claims to be able to specifically detect his predicted lines, yet the spectral resolution of the gamma detector he uses is far below what would be needed to make this argument work. Moreover, the spectra are heavily affected by Poisson noise because of low count numbers in the detectors. Yet in all this Wyttenbach takes no steps to assure the reader that his analysis is doing anything other than seeing what he wants to see in what is a very busy spectrum. These things could all be addressed but Wyttenbach seems sometimes unaware, and sometimes uncaring about them.
So, yes, I think we have already seen an attempt by Wyttenbach to claim that his SO(4) theories has made successful predictions of lab results. But no, this one wasn't successful. No one can yet rely on a claim that Wyttenbach's theory has empirical support from the lab.