As I recall the AS350D (Astar) RFM stated that when pulling +g the limit warning was feedback in the controls due to forces on the head overpowering the single hydraulic system. We used to demonstrate this during training. The aircraft remained fully controllable during this event and recovery was easy.
The AS355F (Twinstar) had dual hydraulic systems so they put a nice Limit Light on the panel to inform you that you were at the +G limit.
One interesting event in the Astar was if you lost hydraulics at speed and the accumulators were empty or you were silly enough to. push the button on the collective to shut them off. A very interesting climbing right turn was the result.
First action for hyd failure on an Astar was “Turn Off that ег&$ Horn” so you could think.