DY:
Actually not. But the opening question can mean many different things, and until these are clarified, no one can answer anything.
First, there needs to be a defining of the terminology. What are public issues? What is dirty laundry? What is considered airing? Are these halacha questions, or are we seeking wisdom to guide us?
Second, Talmidei Chachomim are exactly that. They might be poskim, but might not have smichas chachomim to pasken shailos. They have their specialties. Some have many, others have few. Some are knowledgeable about many non-Torah issues, many are not. Can a Rosh Yeshiva guide a talmid in choosing a career? I wish he could. But the odds are that without having had a vast amount of exposure, which is unlikely because he was probably in the beis hamedrash learning, he cannot.
My experience is that the well recognized Gedolim do not tread into unknown waters. I have engaged with many of them. I have also experienced quite a few rabbonim that feel free to advise on anything, and make tragic mistakes when they leave the confines of their professional (Torah) domain. Their noble intentions are not supported by their knowledge gaps.
The Steipler ZT”L was hesitant to offer specific advice on many subjects. He consulted with experts. Sometimes, he would make a suggestion such as, “Ask your doctor about such-and-such.” Not direct advice because, as he stated to me personally, “I am not a doctor, and not qualified to give such advice”. Reb Moshe ZT”L was also one who consulted with experts regularly. Reb Shlomo Zalman Auerbach ZT”L spent many hundreds of hours studying about electricity, with electrical engineers and electricians before feeling himself knowledgeable enough to pasken shailos in hilchos Shabbos and electricity.
The past many years of a mistaken and dangerous approach to molestation by prominent rabbonim seems to be on the mend. They simply did not know or understand. So we had some great rabbonim making statements that are known to the professional world to be completely inaccurate, as there was a knowledge gap. This appears to be mending today. But gaps still exist. Thanks to the intervention of askanim who engaged with the Moetzes and provided badly needed information.
As for the שופט אשר יהיה בימים ההם, there is a simple comment that should put this in perspective. Yisro directed Moshe to create a hierarchical system of dayanim, with only the toughest being posed directly to Moshe. But the pattern was that anyone with a shailoh approached his שרי עשרות and asked. If this was too difficult, it was passed upward, until it reached Moshe. Recognize that all the way up the line, there were dayanim who had no problem saying that they lacked the ability to pasken. Their true power lay in their ability to say, “I don’t know.” The שופט that the posuk refers to here is not the lower level dayan, but the recognized leader of Klal Yisroel. It does not mean the average Rov, however scholarly he might be, unless he has that broad range of experience and world knowledge.