Title text:
Patients at least found it to be an improvement over Millikan's incredibly messy and unpleasant oil drop suspension procedure.
Transcript:
[Ponytail, wearing a lab coat, is giving a balloon to Cueball. Behind Cueball, there is a ramp on the ground, a magnet hanging from the ceiling, and a target on a poster on the wall.]
Ponytail: Rub this balloon against your head, then go jump past that magnet toward the target on the wall.[Caption below the panel:]
Before the bathroom scale was invented, the only way to weigh people was mass spectrometry.
Source: https://xkcd.com/3094/
Speculating, of course, I would say there wouldn't be enough change to get a perceivable effect through other kinds of noise at the scale we are talking about. Yes, there would be an effect, but with all other environmental variables included, the results may appear completely random.
Then again, I suppose much of this boils down to the accuracy of the tools that you use to measure the results.
To make it a bit easier to measure the difference, you could do this in free fall or a micro gravity environment.
And a also a full vacuum. Your test subject might not look so hot after that, but science!
Air just gets in the way, in more than one way actually.