Yeah this tracks with something I've been mulling over for a while. The EM field fluctuations during a storm are significant and if you accept that poltergeist phenomena are in any way tied to electromagnetic interference - either as a trigger or as the actual mechanism - then it makes complete sense that a massive atmospheric electrical event would amplify whatever's going on.
There's also the infrasound angle. Storms generate low-frequency sound waves well below the threshold of human hearing and infrasound at certain frequencies has been documented to cause feelings of unease, presence perception, even visual disturbances. So some of what people are attributing to poltergeist escalation during storms might be infrasound messing with their heads, but that doesn't necessarily rule out the paranormal component either - the two aren't mutually exclusive.
My own experience in a property in the New Forest a few years back, objects were being displaced on a fairly regular basis, but during one particularly nasty thunderstorm in October we had three incidents in one night. Could be coincidence. Probably wasn't.
Anyone tracked this with actual timestamps and weather data? Would be genuinely useful to compare notes properly rather than just anecdotes.