For me both are the same, it depends on the individual. Many General Authorities have fallen in the past.
I have a brother-in-law who served as a Bishop and is now serving as a Stake President. When he was serving as a Bishop, I remember him telling me that he felt a great endowment of the Spirit that he had never felt before he was ordained as a Bishop. Now that he is serving as a Stake President, he has told me that he has felt an even greater endowment of the Spirit than he ever felt when he was serving as Bishop, and he speculates that the endowment of the Spirit that is given to the General Authorities must be even greater than the endowment of the Spirit that he has felt since being set apart as Stake President. It seems logical. Yes, they are fallible, mortal human beings and liable to err, but perhaps a little less liable to err than the rest of us. The last General Authority to fall was George P. Lee.
I know of no scriptural support for that. It was based on the personal experience of my brother-in-law, as I stated. I suspect that most General Authorities have already proven themselves before they were called to be General Authorities and are therefore less liable to err than many of us, although it is still a possibility, as the experience of George P. Lee clearly shows. But George P. Lee is the only GA to fall since Richard R. Lyman almost 70 years ago. That's a pretty good record. I think it shows that the GAs are less likely to err than many of us. And again, based upon my brother-in-laws experience receiving a greater endowment of the Spirit when he was ordained a Bishop and an even greater endowment of the Spirit when he was set apart as a Stake President, I think that we have grounds for speculating that the General Authorities may receive an even greater endowment of the Spirit than Stake Presidents. Can you follow that reasoning?