Indeed, this is getting very interesting. We have a fleet split. Charal is a lot more to the west circumventing the TSS doing 8 kts compared to for instance Corum which is in between the TSS and the coast. Corum tacked to the NW, doing 7 kts. Bad VMG I suspect and that tack. Less wind under the coast. The front and lots of wind will come from the southwest. So going there makes sense. But only if you were west enough in the first place.
I can see at least Charal, Apivia and HB on AIS going west of the TSS.