Since you have been out of status for much longer than 90 days, you'll need to wait until you have first stage approval (AIP) before your OWP can be issued.
You're confusing the 16 months (how long it takes to get AIP, usually), with the 5 month [was 4 month] wait for those that do have legal status to receive their OWP.
So that means the previous 16 months which says OWP application may be submitted is only for applicants with legal status? its kind a confusing, I believed the 4 months is for the OWP pilot program which you can include the OWP app on your inland app and if you dont include it on your inland app you can send the OWP app by mail or online anytime and you dont need to wait 16 months?