This is not exactly the case. I have plenty of experience running 3S motors on 4S and 6S with telemetry. Get a quad in a hover, and compare current at the different voltages. You will find E=IR still applies. Watts = Volts * Amps. At a higer voltage it takes less amps to hover but same watts to hover.
I think you’re comparing different things than I am. It takes the approximately the same watts to hover, whether you do it with more volts or more amps, so it applies there. In other words, in your case, the watts are a constant, so yes, more volts will reduce amps and vice versa. But if you take the same motor and hook it up to a 3s vs a 6s and run it at full throttle, the 6s will take more amps, not less.
Take this SunnySky 2212 thrust chart as an example.
Specifications Warning: this version does not come with any accessory. It is used for props with built in nuts as shown in the following photos. X series of motors are processed by CNC milling, the hollow-designed appearance not only guarantee good heat dissipation, but also greatly reduce motor...
sunnyskyusa.com
At 11.1v, it draws 11a at full power (122w). At 16.5v, it draws 19.5a (322w).
So in relation to the question of whether you can burn out an ESC by running at lower voltage due to higher amp draw, I don’t believe that’s true. In the case of this example motor, if you’re running at full throttle at 11.1v, you’re already far under the maximum current for that motor, and if you reduced the voltage further, the amp draw would also be reduced.
I think? I might be wrong about this, in which case I’d appreciate being corrected.