It is said to be compiled on the basis of Weak Ahadith. References are provided at the end. All the narrations have one common narrator in them Abu janab Yahya bin Abi Haiya Al-Kalbi
(أبو جناب يحيى بن أبي حية الكلبي) who is weak and his narrations are not acceptable to Hadith Scholars.
Imam Dahabi has categorized him as weak and called this specific narration as Munkar (Strange/Odd). He writes:
“قال الذهبي في التلخيص: “قلت: أبو جناب الكلبي ضعفه الدارقطني، والحديث منكر
There is no prohibition on reciting Quran from wherever one wants to recite, however any linkage of such recitation with protection from evil eye or black magic is based purely on human experiences. It is not something sanctioned by the Prophet (sws) for this particular objective.
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References:
Sunan Ibn-e-Majah #3549 (https://sunnah.com/ibnmajah:3549)
Musnad Ahmed #21174 (https://islamicurdubooks.com/hadith/hadith-.php?tarqeem=1&bookid=24&hadith_number=21174)
Mustadrak Ala-Sahiain by Imam Hakim (دار الكتب العلمية – بيروت) #8269 (Images Attached)
Musnad Abi Yala (دار الحديث – القاهرة) #1594
Amalul Yawmi wal laylah of Ibnus Sunni (دار القبلة للثقافة الإسلامية ومؤسسة علوم القرآن – جدة / بيروت) #632
Kitabud Dua by Tabarani (دار الكتب العلمية – بيروت) #1080
Ad-Dawaatul Kabeer by Bayhiqi (غراس للنشر والتوزيع – الكويت) #595