I would check the FMS prediction to see what altitude its estimating by the GVA8 point. It could be that it is expecting to be below 7000 at the GVA8 point. As the SID is 7000 or GVA8 whichever is later you need both criteria to be met before the turn is started. By that I mean 7000 has to be achieved and GVA8 has to be achieved.
As there is a ridge to the north it is important that both conditions are met before the turn.
Most jets will have achieved 7000 by GVA8 and therefore will turn at GVA8 as both criteria (7000 and GVA8) has been met and therefore it is safe to turn.
Pilots can either wait until the turn is started before setting STD (to ensure that the 7000' criteria is met and not FL070 which could be below 7000' and therefore not safe to turn. Or pilots may set standard as normal, keeping an eye on the backup altimeter which is set to QNH. If the aircraft starts before 7000' has been met then they will select and track straight ahead as per the SID and then re-engage NAV once 7000' has been achieved.
Personally I like to wait for the first turn but each to their own.
I hope this helps but I could be completely wrong!