Hi,
The reason that the transactions flow through Job Costing as Other Charges, is that Billings will create a Revenue entry whereas the Other Charges flow though as a memo entry (with no GL implications).

The issue perhaps is why use Order Entry to do invoicing instead of Invoices, if you want to charge the sales to the job? Using Order Entry will not get the costs to the job.

I can see your logic of re-routing the AR transaction but it looks like taking the long way home.

The Invoices method works well unless you need pickslips for the job and gives you much more flexibility in the invoice layout, which is usually a requirement for job costing sites.
Brian