Note: I'm answering my own question here. If someone can verify my findings in an answer I'll accept it.
Williams tubes (a.k.a. electrostatic cathode-ray storage tubes) were used for memory in the MANIAC Ia and the IAS machine on which it was basedb. These were small CRTs that stored bits as static electric charge on the front of the tube1. The addition of a thin metal sheet to the front of the tube allowed the stored values to be read2. Relying, as they did, on static electricity meant that they were very sensitive to environmental conditionsc, primarily humidity3. Too much humidity will prevent static charge from building up and too little humidity can cause excess charge build-up (or even arcing in high-voltage CRT circuitry). This was noted by a Princeton alumnus who remarkedd4:
The 40 CRTs (Williams Tube memory) had some strange characteristics.
… [T]hey were very humidity-sensitive. On dry
nights they would acquire “spurious bits” — 1s that should have been
0s.
A hygrometer in close proximity and similar conditions to the Williams tubes (i.e. two meters up between the console and the tubes) would thus be invaluable to the machine operators.
1 Omitting the sense plate from a Williams tube and connecting its input to another tube's input would allow the bits stored in that tube to be viewed by the operator. Two such display tubes can be seen in the photo at the left and right of the row of tubes. Here's a close-up (display on the left, storage on the right):

The actual tube is visible as the black and green square at the bottom of the device.
2 Put simply, if a write is done to a location on the tube then the voltage seen on the plate will differ depending on whether a 0 or 1 had previously been stored there. See the linked Wikipedia article for details of how this works.
3 Apparently vaguely close lightning strikes could also cause bit flipsc.
4 Earlier in their remark they misidentify the IAS machine as the very closely-related MANIAC. IMO this in no way detracts from their statement.
a Harlow, Francis H. and Metropolis, N., "Computing & Computers Weapons Simulation Leads to the Computer Era", LA-UR-83-5073, Los Alamos Science, LANL, Winter/Spring 1983
b "Electronic Computer Project", https://www.ias.edu/electronic-computer-project, retrieved 2021-12-03
c “The sensitivity of the memory, that was a big problem … If there was a storm with lightning, you would feel it in loss of bits. We spent many nights on the floor trying to tune it up.”
— Estrin, Gerald as quoted in
"Daybreak of the Digital Age", https://paw.princeton.edu/article/daybreak-digital-age, retrieved 2021-12-03
d Clarkson, Bill, Comment in response to "Daybreak of the Digital Age", https://paw.princeton.edu/node/53751, retrieved 2021-12-03