My view is a tad different to others. Plants with aerial roots service with the roots being in the air. They do not expect or rely on fertilizer being sprayed on them.
I suspect that both water and the nutrients in it will probably damage your aeroponics. The suggestion here is to have a very weak solution sprayed just on the roots for a very short period of time.
Aeroponic systems have a unique way of feeding plants. Small nozzles, like tiny sprinkler heads, produce a mist for a brief period every 10 or 15 minutes, 24 hours a day. The nutrient solution mist covers the roots of the plants, where it clings long enough for some of the nutrients to be absorbed. As the liquid drips off, the roots get a chance to take in oxygen, which they also need, until it’s time for the next round of spray.
From Aeroponics & Feeding Your Plants
There's a similar suggestion here
How Aeroponics Works
The Aeroponics system utilizes a sprinkling method of feeding plants and plant roots are suspended in the air.
The system has small nozzles which are made up of tiny sprinkler heads. This generates the mist for a short period. Set the sprinkler to sprinkle nutrient solution every 10 or 15 minutes per day. This misting will engulf the plant roots where it hangs long enough for some of this nutrient to be assimilated.
Once the mist stops, some of the nutrient solutions drip off to give the plant root a chance to receive oxygen. So they use this brief moment to take in oxygen until the next round of misting continues.
From Aeroponics Nutrient Solution Recipe