I am no expert here, but there seem to be many pathways for damage other than ionization. The mention of calcium channels etc. shows a concern for unexpected triggering of normal cellular functions rather than direct molecular damage.
Remember that cells are stateful biochemical machines, so it's not just instantaneous damage from radiation as the only possible pathway. If the authors are right and the cells are in some way receptive to the modulated emissions, some bio-structures might be like antenna and demodulators, stimulating the cells at many lower frequency scales. An analogy here could be a crystal radio which demodulates AM broadcasts into an audible frequency, or the way old GSM call negotiation patterns would induce an audible pattern in computer speakers.
This summary of occupational safety concerns for mechanical vibration covers a topic I found interesting when it first appeared as a news item years ago: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6415671/
I know you might say this is vastly different scales of energy between whole body vibration from an industrial job and emissions from a battery-powered cell phone. My observation is merely that there are many ways that we might naively think that our bodies are robust, while with repeated exposure to seemingly harmless conditions, subtle damage accumulates.