In relation to supposed deployment of German special forces there....

I would not take such statements literally, or at least take them - but with a pinch of salt.

Germany agreed to deliver assault rifles, anti-rank 'rockets' (i.e. missiles or similar) and ammo to Iraqi Kurds, and to train them in the use of these - 'whether in situ or at a suitable place abroad'. That means: 'sure', German SF are there, but not with the purpose of getting involved in combat operations. They're there to train Kurds in use of German-supplied arms.

Namely, doing something like secretly deploying German SF into combat in Iraq, would be a political suicide for any German chancellor. And Angela is really not renowned for committing these 'all the times' (if at all, then quite on the contrary).