It's not a Faraday cage when the inside contents has conductors leading out. This allows an E-field to exist between the box and towards the batteries and BMS inside it.
We don't know a bunch of details, such as the machine the servos are mounted too, if the machine is grounded etc. But from experience I know the RC soft ground works well enough, and the RC can be depopulated or replaced with gas tube, polyfuse etc. whatever you think.
Leaving the box floating, the isolation voltage rating (insulation) between box and insides would likely not be enough for ESD so it will nail the contents... somewhere. This is bad.
If you impose an RF signal on the box, the capacitor's other plate is the BMS and batteries so common-mode currents will happen and I have no idea if the BMS can handle it. EE's get stuck thinking everything to do with a battery is simple DC and no RF bypass here or there can cause unexpected susceptibility.
Really this situation is no different than putting a PC board inside a metal enclosure, that has outside wiring coming in to the board. Floating the box does not work well.
A hard ground you have to do something with limiting DC fault currents so wiring could not melt and burn. It's the worst way to go I think. Even a fuse, you have no idea it blew so what was the point?