Here's another 'devils in the detail' speal, if you will hear me out. It may be BS because its years since I did a climate paper. There are three terms to consider
1. Barometric pressure (lower pressure,less power, less dense fuel air mixture)
2. Humidity (greater the humidity, less power????)
3. Ambient Temperature (higher the temp, more rarified the oxygen particles, less power)
When one changes, so do the others. Humidity alone may be a snapshot with a poor persepcitive, cause other things change too.
Weird Idea 1:
If it's a hot, dry day of , say, 50% humidity at 100 degrees, then a rain event will drop the ambient temperature fast in a downpore. Could go down to 85 degrees, or so. This will lower temprature, and stop the rise of water in the atmosphere through the formation of steam. Eventually, the humidity MAY rise, but not straight away. The rain cools things, but the humidity can only rise with a heating factor from the sun to create a state of change. In the first 30 minutes of a good rainstorm, the humidity may stay at a constant 50 for some time, (perhaps even drop!), then rise to some other value after the rain event. Then if the rain is clearing, and the sun shines, it could become very humid again. Additionally, the barometric pressure would change with the weather too, and that has a bearing on power. You can end up chassing your but on a mock weather event, but the principals should bear out that what GoinBroke says is actually quite true. It's just clouded by air temperature, barometric, and water temperature changes happening at the same time.
Climatographers, weather men here?
Weird Idea 2:
Anyway, the hypothetical Ford F150 cruising the highway before the rain event 'sees' a bulk temperature of wet and dry particles of 100 degrees. During a rain event, it 'sees' wet particles of atomised water at, say 75 degrees, and then air which is now cooling fast to , say, 90 degrees. Taken together, the air temperature at the air cleaner could be less than 85 degrees from the chill provided by the rain event. The humidity at the air cleaner could be more than this suggested 50%, but it's cooler also. So power goes up even with a humidity rise.
Barry Grant and all the other fuel systems and drag race suppliers provide weather stations that take all these facets together, and allow you to tune for manximum hp. Somewhere, there is time when humidity can rise and power can rise, but only because baromotric pressure has risen and temprature have dropped.