In theory, this could happen only if high humidity made air denser. Humidity actually reduces the density of air:
https://en.wikipedia.org/wiki/Density_of_air#Humidity_.28water_vapor.29
"The addition of
water vapor to air (making the air humid) reduces the density of the air, which may at first appear counter-intuitive. This occurs because the molar mass of water (18 g/mol) is less than the molar mass of dry air (around 29 g/mol). For any gas, at a given temperature and pressure, the number of molecules present is constant for a particular volume (see
Avogadro's Law). So when water molecules (water vapor) are added to a given volume of air, the dry air molecules must decrease by the same number, to keep the pressure or temperature from increasing. Hence the mass per unit volume of the gas (its density) decreases."
If your subwoofer's cone material is made of untreated or uncoated paper, as suggested by TLS Guy, it might absorb water vapor and become heavier. Coated paper, plastic, or metal cones should not be affected by humidity.
Otherwise, we don't have a clue why this is happening

.