The premise is that if 32 psi is recommended for a stock tire/rim configuration, this is what it takes for any other tire size to properly "suspend" the weight of the car. However, when tire size is altered too much, as in much wider tires and much lower profile tires (to maintain the proper diameter for speedo correctness, ABS and/or stability control function) then the appropriately wider rim should be used. A further complication comes when you go very wide and very low profile in that daily street driveability suffers both in terms of ride harshness and resistance to road bumps and potholes. Too little pressure and you risk compressing a low profile tire and impact the rim when encountering bumps. To much pressure and you risk a very harsh ride and excessive bulging in the tread center, thus wearing that part of the tread prematurely. On the other hand, if you're spending that kind of money to lower a car that much, tire expense may just be a normal consequence.
A 1" drop and an increase in 20mm of tire width is fairly minimal.