Multiplexed microwave paths can also be disturbed by extremely high winds. If the dishes are blown out of alignment, then transmissions can be heard on the wrong channels (usually just for short bursts) or not at all.
After several decades in the microwave business, I never experienced that. Dispersive fading, where there is phase distortion of a multiplexed analog signal can cause crosstalk, but it will usually manifest as noise, not intelligible audio. On a digital multiplexed microwave radio, the dispersive fade margin might be reduced, but so long as the received signal remains above that margin, the bit error rate is unaffected.
High winds and dispersive conditions are generally mutually incompatible. A dispersive fade is caused by multipath, usually within multiple stable atmospheric layers. High winds churn the atmosphere, so those stable layers can't usually exist. High winds can cause scintillation of a signal, but the effect is usually minor, and the microwave radio adaptive equalizers will cancel it out so it's not service impacting. Unless you dig deep into the radio, you won't even know that's happening.
Dishes getting blown off path equates to a flat fade, unless co-channel interference is increased with the off-heading antenna. In a flat fade, so long as the received signal stays above the flat fade margin, the bit error rate is unaffected. So, an antenna can be quite a few degrees off azimuth before it becomes service impacting, depending on the path geometry. With everything tightened down the way it's supposed to be, I've seen 100+ mph winds with zero service impact on microwave paths.
What I've seen with high winds is loose connections getting noisy, improperly tightened antennas getting blown off path, and sometimes static charges building on antennas that noise up VHF and UHF receivers.
To the OP, the most likely cause of low police radio activity during high winds is that the wind is keeping the bad guys from coming out from under their rock.