Target shooting or hunting?
The reason the palma brass was produced is because target shooters sometimes run some pretty high pressures and the case heads are stronger with the small rifle primers. The small primers mean more brass in the case head so it's stronger and will take more pressure than the large rifle primer cases. That doesn't mean the standard large rifle primer cases are weak, just that if you're really going to be leaning on it then you might want to consider the palma cases. There is also the feeling that sometimes the small rifle primers will result in lower extreme spreads in velocity. The flip side of that is that in colder temperatures the small rifle primers might not give consistent ignition, there's not as much primer compound in them. That's probably not a factor in most target matches which are shot in good weather, but it can be to a hunter that hunts in cold weather. Small rifle primers are typically used in cases with much less powder capacity than the .308 and the thought process is that a large rifle primer is better for igniting the .308 size powder charges under most conditions.
The bottom line is that unless you have a really good reason to need the palma cases, like you're a competitive target shooter and that's all you do with them, then you're better off using the standard large rifle primer cases.