No, it doesn't work that way.
It's worse....
Pharmacists are not relegated to filling. That's a tech's job. There are only about 3 things that pharmacist's do in the mail order facility, be a walking signature and data entry.
Walking signature: Since all meds are either autofilled or tech filled, the pharmacists are ordered to verify all med correctness. They sit on stools while a conveyor belt dumps totes out to them. When they are done, the pharmacist places the tote on another conveyor belt to go to shipping. At the current time, WAG's mail-order quota is 2-3 bottles a minute. That means roughly 180/hour. It's mindless labor.
Data entry: All those scripts that are mailed in have to be entered and verified by someone. A tech enters the Rx and the pharmacists gets dumped a batch tote to verify. Each Rx must be manually initialed like the community. Problem Rx's are placed down a separate line to be rectified. I think quota is 1 Rx a minute now up from 0.5 a couple of years back.
Problem-solving: Because of OBRA '90, counseling still must take place. There are pharmacists who spend their shifts manning the phones and calling patients to counsel them on their medications. Since HIPPA, they direct them to call the 1-800 number if they can't reach them. They also settle the problem scripts that come through.