If someone would help me with translation of my Czenglish into a more widely recognized language, I could write a broader picture of cold fusion as I missunderstand it by now. My basic picture is, the LENR is not a single well defined nuclear process, but mechanism of acceleration of whole spectrum of nuclear reactions, which are often already known from colliders and nuclear reactors. The LENR can accelerate the true fusion (like the 3Li(7) + p > 4Be(8)* > 2 He(4)) in the same way, like the decay of 4Be(7) + e → 3Li(7) + ν or electron capture in potassium. Once it gets involved, it does favor the nuclear transmutations into account of free particle formation, because the energy gets released in form of heat instead of fast moving fragments. In this way it's analogous to action of catalyst, which also promote the formation of less equilibrium i.e. negentropic mixture of products.
For example, if we heat the water, it will decompose into hydrogen and oxygen. But once we use a catalyst, then the oxygen may get released in form of hydrogen peroxide, i.e. more complex product, than the water itself. How we can achieve it? Well, we must compress the water with radiowaves into aform of water clusters, which will get subsequently released fast, so that thermodynamically metastable mixture of hydrogen and hydrogen peroxide will remain preserved. And similar process applies during LENR: multiple atom nuclei compressed into single one will balance their energy content smoothly and when this metastable system gets released again, the resulting energy is distributed across many nuclei, so no tiny fragments (i.e. ionizing charged particles) are released into outside. In this way the cold fusion not only enables to merge & combine the atom nuclei faster, but it also helps to utilize the resulting energy in a form of clean heat - in this sense it's a double gift of Nature, rather than single one.
My point is, such a temporal condensation of atom nuclei occurs during low-dimensional collisions, when multiple atom nuclei collide against each other along long stacks, which is just enabled by perfect lining of atoms within metal lattices. The thermodynamics get broken the more, the more distant the system is from random arrangement. Just the factor of geometric regularity is what violates the thermodynamical probability of Coulombic barrier breaking, which is based on solely random arrangement of particles instead. In layman terms, the probability of regular crystal arrangement inside the hot plasma is as improbable, as the fusion of hydrogen in this plasma by Lawson criterions - so that inside the metal lattice these two extremely low probabilities cancel each other mutually. Other than that, the high yield of LENR is a product of synergy of many other contributing factors, which are also widely ignored during calculation of yield of plasma fusion - but the above one is dominant.