The current that flows through the bleeder resistor(s) effectively discharges the capacitor.
My point is that the Voltmeter, when placed across the charged capacitor, will represent an additional resistive element that is in paralel with the charged capacitor and the bleeder resistor.
This way the value of the resistive element is reduced, and the speed of the discharging process is increased. This effect may be very small, if you have a decent meter, that is.
The observability depends of the voltage; on 500VDC, the effect is easier noticable than on 30VDC.
The problem is that unless you have a high quality meter to compare against, it is hard to see how much your normal meter will have an effect on what you are reading.
And I agree with the others, it is good practice to clip in a bleeder resistor before doing work on these amps.