You hypothesize that it generates gas-phase ions.
Commercial devices have a pedigree of engineering, standardization, and extensive, reliable use. Your lab-built measurement system cannot equal that. Worse, because the working electrode of the LEC is also part of the measurement system, you alter the measurement system every time you change the electrode.
I am with Alan and others on this. Though I agree with you it is all speculation. However there are not many options for what is going on: free ions making the two plates into a battery fits the bill. The varying voltages can be explained by the complex not well understood work function expected from electrolysed metals with embedded protons + deposits.
Read his paper - which is a fair summary of much of the background. (Alan - well done it is a very fair and useful paper).
I actually agree with Alan that the "LEC effect" (LEC is a bad misnomer I think) could be important in explaining some of the LENR anomalies.
I agree that those hydrided metal surfaces generate ions for some time after the end of the electrolysis that pushes protons into them
I think the most plausible explanation does not require any nuclear reaction. It does require some unusual behaviour at the electronic level on those metal surfaces.
If you are an LENR enthusiast you might speculate that said unusual behaviour could lead to high energies capable of going through the Coulomb barrier.
I'd say the energy needed to create ions is low, 10s of ev only, and it is much easier to imagine unusual surface effects generating this, than unusual surface effects generating much higher energies. But the same class of speculative mechanisms could fit both.