Currently, it seems that theoreticians who are using more conventional approaches to explain LENR are well ahead of those who are employing alternative theories. Several papers by theoreticians using standard physics include reaction rates, which might be compared with measurements.
This is pretty much nonsense as nobody ever did show a paper and matching experiment. In Assisi David pushed a fellow mate to explain a silly nucleus model with quarks. Since then for me he is no longer a serious scientist.
There is a pretty good formula for the D-D fusion rate already shown in Terni. But without a stable reproducible experiment it is not worth to invest time in a refinement.
The new SO(4) model can help us to explain why certain reactions do not run and other will not. I did not yet publish much about the Alpha wave that is the basis for the strong force coupling propagation among multiple alphas inside a nucleus that join in a common structure.
Main reason to not publish is our research = future experiments, with so called cold fusion chips. As long as people do not start to help with SO(4) physics modelling they have no right to get useful information.