Right. But you are making assumptions when you say it is not possible. There is a mountain to climb, but there are many possible things to help that climb.
I am not saying it is likely - but if LENR exists it has a mechanism - and the possible mechanisms need to be considered, not dismissed out of hand.
THH, the possible mechanisms are not being dismissed. Only the impossible mechanisms are dismissed, just as you like to do. Perhaps we need to eliminate all of the impossible mechanisms so that only the possible remains as the truth. This will eliminate all of the presently accepted mechanisms. So, we will need to start over. Can we do this?