You're probably OK, but to be sure take an AC voltmeter, attach one lead to ground, and probe each chassis with the other. If you see more than about 5 volts or so then you have a problem.
Modern gear runs the power leads (hot and cold) directly to the power transformer (perhaps through the power switch). Unless there is leakage to the chassis all will be well.
Modern gear runs the power leads (hot and cold) directly to the power transformer (perhaps through the power switch). Unless there is leakage to the chassis all will be well.