Regarding lack of gammas, you have written about 10MeVs - you would need a really long cascade of gammas (requiring semi-stable states of nucleus), electron of this scale from e.g. internal conversion would also be well seen, e.g. from bremsstrahlung gammas it would produce.
What do you think about releasing this energy in a form of a less localized form - gammas "maintain their shape" while traveling, so technically they are solitons of EM field.
Why this energy couldn't be released in a form of e.g. cylindrically-symmetric EM wave, like from line antenna - such wave would disperse this energy in 1/r way, converting it into local thermal energy.
Regarding me being "a fan of Gryzinski", it is much more complex. So much earlier (~2008) I was working on Maximal Entropy Random Walk (MERW, my physics PhD) - showing that thermally perturbed trajectories average to quantum probability distributions (MERW has started in my physics MSc alongside ANS coding your data is written with if you use Apple or Facebook).
MERW has also lead me to the question of the structure of particles (~2009), which should start with the question of charge quantization - it has a natural analogue in mathematics: topological charge. Using such picture for electron (started by Manfried Faber), a qualitatively trivial model (vector field with e.g. (||v||^2 - 1)^2 Higgs potential) recreates electrons as the simplest charges - with quantization, pair creation/annihilation, finite energy of charge (infinite for point charge), Coulomb force and the rest of electromagnetism. I have expanded it other particles and nuclei (slides, essay).
Anyway, we finally need concrete trajectories for these solitons/electrons ... which in time average to quantum statistics due to MERW - and I know only Gryzinski who has made a solid work here - basing on agreement with experiments, many on them. But I am open for other reasonable approaches (?)
His model doesn't cover the structure of nucleus (and he believed neutron was proton with electron, I disagree with) - I rather use intuitions from my model here, but only for this possibility of radiating energy as cylindrically-symmetric EM wave.
Regarding shocks from PHz electron passing in ~10^-13m distance, it doesn't transfer energy, just kicks the structure of nucleus, shake it to speed up finding energy minimum.
This nucleus can release abundant energy, what means it is in a local energy minimum, but there is a lower energy minimum behind a barrier.
A single kick from the passing electron is not sufficient to cross this energy barrier, but many of them can help crossing it (decay), like in stochastic resonance ( https://en.wikipedia.org/wiki/Stochastic_resonance ).
Regarding the webpage you cite ( http://math.ucr.edu/home/baez/…dNuclear/decay_rates.html ), it mainly discusses electron capture, but there is also:
"A 1996 paper discusses this bound-state decay of bare-nucleus
rhenium-187. Whereas neutral rhenium-187 has a half-life of 42 ×
10^9 years, the authors measured fully ionised rhenium-187 to have a half life
of just 33 years! They discuss the cosmological implications of the altered half
life of rhenium-187 in various degrees of ionisation in stellar interiors, and what that
implies for our knowledge of galactic ages."
which surprisingly has an opposite effect - the presence of electrons prevents from decay - I will have to think about it, but these kicks from passing electron could have also stabilizing effect e.g. through a resonance: decay may require change of the frequency, while the regular kicks can stabilize nucleus in a different frequency.