On the Oceanic Route (like T16 to TFS and the like) maybe using the offset procedure might be beneficial in reducing collision potential.
In busy skies over Frankfurt I think you have a problem either way as there are a lot of people out there but turning increases the risk as initially ATC have no idea where you are going.
Direct routings help keep people from flying identical tracks, so go direct whenever possible and don't turn.
I think I just decided that I wouldn't turn.