Is it possible that the approach was never intended to be initiated from the published hold at TGO? Could the holding at TGO simply be for the missed approach procedure?
If you look at EDDS 10-2, the REUTL FOUR ALPHA and the TEKSI 4 ALPHA arrivals use TGO as an initial approach fix for RW 07. The REUTL FOUR is inbound to TGO on R163 and the TEKSI Four is inbound to TGO on R077. Both of these routes seem to fit in better than initiating the approach from the published hold at TGO, although it doesn't solve the problem of what to do on a missed approach after you get to TGO and hold.