The problem for Germany in the West in 1944 isn't need of an orgainzed retreat, but the lack of mobility of virtually all but a handful of their combat units. Whether the "hold at all costs" policy is followed or not, the Germans have really only two other really bad choices:

1. Try to hold until a breakthrough is made and then reseal the line using their limited mobile forces. Failing that, withdraw as best they can. This option means the majority of the non-mobile forces are going to end up pocketed and POWs.

2. Withdraw their non-mobile forces in a timely fashion using their limited mobile forces as a rear guard to allow the withdrawal. The problem here is that the mobile forces will be ground to nothing leaving no means of offensive action for the Germans at a later date. Yes, the non-mobile divisions are intact but their combat value in many cases is very limited so you are really robbing Peter to pay Paul.

Basically, the Germans in 1944 as a complete army were so badly over-matched that they were just buying time until their eventual defeat.