I know there's a low-pressure cutoff switch, but I don't think there's a high-pressure cutoff switch in the 944/968 system, which means your AC compressor clutch wouldn't be activated if you don't have a sufficient amount of refrigerant in the system.
And it's unlikely you'ver over-filled using a DIY can because your system couldn't take in more pressure than the can.
It sounds to me as if your system has not been run in a while, and perhaps you're simply not accustomed to the amount of drag the AC compressor creates when you activate it while the engine is running at idle speeds. It can create a parasitic loss as much as 30 hp.
Make sure to charge a bit of lubricant into the system.
Other than that, the important thing to note is whether or not significantly cooled air is coming through the interior vents.