Will low voltage damage a servo?

In an attempt to reduce the jittering noise on my 4.8v servo at the cost of some torque, I reduced the voltage down to 2.8v on a variable power supply.

This has reduced the noise by a lot while still maintaining a good torque. Someone has told me however that this could potentially damage the servo since the current would go up.

Is this true?

My overall goal is to reduce the annoying high frequency sounds from the servo.

Is this true? - yes, under load.

My overall goal is to reduce the annoying high frequency sounds from the servo - buy a better quality servo.

I just tried it out on a variable power supply and the amp readings were about the same for both voltages under the same load.

As for buying a better quality servo, it's a known fact digital servos make jittering noise under a load.

Higher g servos don't have to buck the loading as hard and jitter less.