Use a TVS device to protect meter from live capacitors, workable or not?
Those are ESD protection diodes. They can't absorb a large amount of energy, so it depends on how much energy you have stored in your caps and what the series impedance from the cap to the TVS diode is. A big electrolytic charged to a high enough voltage would probably cause the TVS diode to short, then blow open followed by blowing your input stage.