Probably what is a stupid question..
If I didn't believe in the phrase "there's no such thing as a stupid question" I might have to agree with you on that
With proper use of the radio there shouldn't be any increased risk of a collision with an inbound aircraft conducting the DGA. Considering most DGA's cover 360 degrees surrounding the navaid the likelihood of that happening even without a radio is quite low.
With proper communication the risk of collision is almost as unlikely as a visual departure!