Is the Hadith: "Whoever prays Fajr (al-Ghadāh) is under the protection of Allah until he reaches the evening" authentic?

The primary reference in this matter is the hadith of Jundub, authentically narrated in Sahih Muslim: "Whoever prays the Fajr prayer, he is under the protection of Allah. So, do not let Allah demand anything from you regarding His protection, for whoever Allah demands anything from regarding His protection, He will seize him, then throw him on his face into the fire of Hell." As for the hadith of Ibn Umar, the hadith of Jundub suffices for it, as it conveys the same meaning and has been narrated with similar wordings. Sheikh Hassan Haidar compiled its narrations and discussed them in his book: "Nuzhat al-Albab fi Qawl al-Tirmidhi: 'Wa fi al-Bab'" (A Delight for the Intellect in Tirmidhi's Saying: 'And in this Chapter...'). Ahmed Shakir authenticated the hadith of Ibn Umar in his verification of Al-Musnad, and Al-Arna'ut stated in his verification of Al-Musnad: "Sahih li ghayrihi" (authentic due to external corroboration).