Davening for Ha-Rav Yosef Shalom Elyashiv

Question: Should we pray for Ha-Rav Yosef Shalom Elyashiv to heal from his illness, or – as one Rabbi suggested – should we pray for Hashem to take his soul on High since he is suffering so much?
Answer: It is correct that the Ran writes in Nedarim (40a d.h. Ain. And see Baba Metzia 84) that if a person is suffering terribly and seems to have no hope of recovery, it is permissible to pray for him to die. The source for this idea is the Gemara at the end of Ketubot (104a), where it is told that Rebbe Yehudah HaNasi was suffering terribly; his maidservant saw and prayed that he should die. Even though she was not a Torah scholar, but a maidservant, the Sages greatly respected her and the Ran rules according to her example. In Shut Tzitz Eliezer (vol. 5 Ramat Rachel #5, 7:49 Kuntres Even Yaakov chap. 13, 9:47), it is written that this applies only if one is davening for the benefit of the sick person who is suffering a fatal illness, and not in order to lighten our own burden. It is clear that our intent in this case it is to lighten the burden on Ha-Rav Elyashiv.
The Ran writes that it is permissible to pray for a person’s end in such a situation, but he does not write that one is obligated to do so. After all, the Gemara itself relates that while the maidservant prayed that Rebbe should die, the Sages prayed that he should not die. In the book "Midbar Shur," in his eulogy for Ha-Rav Yitzchak Elchanan (pp. 332-336), Maran Ha-Rav Kook asks: Why did the Sages pray that he should not die? Their view is difficult to understand. After all, Rebbe Yehudah Ha-Nasi was bed-ridden, suffering, could not teach or give halachic rulings, and was seemingly of no benefit to this world. If he would ascend on High, he would continue to teach Torah there. So why didn't they pray for him to die? Maran Ha-Rav Kook explains that the influence of a great Torah scholar is not only through his teaching, halachic rulings, etc., but also in the presence of his holy soul in this world. The fact that his soul is located in this world brings blessing, even when he is unable to provide practical benefit, is closed in a room and cannot converse with others. This is similar to the Vilna Gaon, who for many years was closed in a room learning Torah. This world with Rebbe Yehudah Ha-Nasi is not the same as a world without Rebbe Yehudah Ha-Nasi.
When Rabbenu Ha-Rav Tzvi Yehudah taught us this idea, he would say that Maran Ha-Rav Kook also suffered greatly, and he told him: Each and every moment that Abba is in this world, despite the suffering, he brings it light. And our Rabbenu would relate this with tears in his eyes.
If so, the same applies in our case. This world with the Ha-Tzadik, Ha-Gaon, Ha-Gadol, Ha-Rav Elyashiv is not the same as a world without him, even though he is currently unable to teach, give rulings, etc. The Rabbis who called on us to pray for Ha-Rav Elyashiv’s healing are therefore correct, and we hope that he will truly be healed and will once again actively bring the blessing of Torah and holiness to this world.
May Hashem send him a speedy and complete recovery.