I hesitate to post this as it's a completely off the wall idea.
As it happens, I had the same toothbrush in my disposal pile!
So some quick approximate measurements with DMM6500 in Digitize Current mode measuring from one side of the battery inside the toothbrush to PE on the back of the DMM6500.
DMM6500 noise floor: 0.005uApp
Without charge base nearby/on: 0.4uApp
Without charge base nearby/on, inside thick steel box section grounded to PE through 1M resistor: 0.2uApp
Whilst on charge base: 1.5uApp
As is, no good; the modifications you suggested would be a good start but not something I'm interested in doing at the moment.
Edit: I'm unsure if there might be some interaction with the DMM6500's own leakage (0.14uApp)
Wow, some impressively quick measurements, thanks!
As you say, it sounds like no good as it stands, but scope for experimentation. There's certainly enough physical gap, without the toothbrush body to implement some sort of primary screen, and a separate guard screen on the secondary.
https://youtu.be/JJgKfTW53uo?t=1320
. This, of course, rerpresents only one model from one brand. Other may do it better.
Thanks exe, I hadn't realised that Dave had done a teardown, well of the toothbrush side, I think all of the charging bases are potted internally for waterproofing. The one that I've pulled apart is a single winding with a bridge rectifier rather than a lower loss 2 winding two diode full wave arrangement.
Dave showed some interesting waveforms, interesting about the 800Hz charge pulsing - I had assumed that they were 'dumb' HF oscillators but maybe there's some (unreachable) intelligence in there.
I will report back any findings.