Not performing ghusl for janabah in severe cold

Sayyiduna Abu Dharr (may Allah be pleased with him) narrates: Some goats were gathered with the Messenger of Allah (peace and blessings be upon him), and he (peace and blessings be upon him) said: "O Abu Dharr, go out with them (to the pasture)." So I went out to al-Rabadhah. There I would become junub and would spend five or six days in that state. Then I came to the Messenger of Allah (peace and blessings be upon him), and he (peace and blessings be upon him) said: "Abu Dharr!" I remained silent. He (peace and blessings be upon him) said: "May your mother lose you, woe to your mother!" Then he (peace and blessings be upon him) called a slave girl, who brought a large vessel of water. She screened me with a cloth, and I screened myself behind the mount and took a ritual bath, and I felt as though a mountain had been lifted off me. Then he (peace and blessings be upon him) said: "Clean earth is the ablution of a Muslim, even if (he finds no water) for ten years. When you find water, let it touch your skin (that is, perform ghusl or ablution), for that is better."
This hadith is sahih (authentic), but only Abu Qilabah narrated it from Amr bin Bujdan, and this is in line with my principle, as the two Shaykhs have taken such narrations.

It is narrated from Abu Qays, the freed slave of Sayyiduna Amr bin al-As (may Allah be pleased with him), that Sayyiduna Amr bin al-As was the commander of a detachment, and they faced such severe cold as had never been seen before. When he went out for the dawn prayer, he said: "By Allah, I had a wet dream last night, but by Allah, I have never seen cold like this. Have you also felt such cold?" They said: "No." So he washed his private parts, performed the ablution of prayer and led them in prayer. When they reached the Messenger of Allah (peace and blessings be upon him), he (peace and blessings be upon him) asked: "How did you find Amr and his companions?" They praised him and said: "O Messenger of Allah, he led us in prayer while he was junub." He (peace and blessings be upon him) summoned him and asked him, and he told him about the severe cold and said: "O Messenger of Allah, Allah says: 'And do not kill yourselves' [An-Nisa: 29], and if I had bathed I would have died." At this, the Messenger of Allah (peace and blessings be upon him) smiled.
This hadith is sahih (authentic) on the condition of the two Shaykhs, but they did not record it.

It is narrated from Sayyiduna Amr bin al-As (may Allah be pleased with him): On a cold night during the expedition of Dhat al-Salasil I had a wet dream, and I feared that if I took a ritual bath I would perish. So I performed tayammum and then led my companions in the dawn prayer. They mentioned this to the Prophet (peace and blessings be upon him), and he (peace and blessings be upon him) said: "O Amr, did you lead your companions in prayer while you were junub?" I told him the reason for not bathing and said: I heard Allah say: "And do not kill yourselves. Indeed, Allah is ever Merciful to you" [Surah An-Nisa: 29]. At this, the Messenger of Allah (peace and blessings be upon him) smiled and said nothing.
This narration of Jarir bin Hazim does not undermine the narration of Amr bin al-Harith, which connects the chain by mentioning Abu Qays, for the people of Egypt know their own hadith better than the people of Basrah.