According to AEM's site you should NEVER oil the new filters. They are to be cleaned only.
NEVER OIL YOUR AIR FILTER AGAIN
AEM’s DRYFLOW Synthetic filter eliminates any warranty concerns on new vehicles because there is no chance of oil traveling up the inlet path and damaging the Mass Airflow (MAF) sensor. It’s also much easier to clean and since you don’t have to oil after cleaning (or wait for the oil to wick), service time is cut by approximately 90%! Just soap it, rinse it, shake it dry and go!