Is it true that Ibn Taymiyyah was influenced by Ibn Hazm, and that Ibn Hazm was influenced by Ibn Abd al-Barr?

Firstly: Ibn Taymiyyah: He is Imam Ahmad Taqi ad-Din. He was born in Harran in 661 AH and passed away in Damascus in 728 AH. He was distinguished by his vast knowledge and jihad, and he endured trials and imprisonment due to envy.

Secondly: Ibn Hazm: He is Abu Muhammad Ali ibn Ahmad. He was born in Cordoba in 384 AH and passed away in 456 AH. He was a memorizer of Hadith and its jurisprudence, proficient in many sciences, and has famous works such as "Al-Muhalla" and "Al-Fasl".

Thirdly: Ibn Abd al-Barr: He is the Hafiz Abu Umar Yusuf ibn Abdullah. He was born in Cordoba in 368 AH and passed away in Xàtiva in 463 AH. He was a jurisprudent and a memorizer, knowledgeable in recitations, Hadith sciences, and biographies of narrators, and has valuable works such as "Al-Tamhid" and "Al-Isti'ab".

Fourthly: Ibn Taymiyyah's influence by Ibn Hazm: There is no evidence of Ibn Taymiyyah being influenced by Ibn Hazm. Rather, he criticized him on several issues, such as his belief regarding the divine attributes, his exaggeration in adhering to the literal meaning, and his harshness towards opponents. Nevertheless, Ibn Taymiyyah praised Ibn Hazm for his extensive knowledge, adherence to texts, and his ability to distinguish between sound and weak narrations.

Fifthly: Ibn Hazm's influence by Ibn Abd al-Barr: The relationship between them was one of studentship and friendship. Ibn Hazm received Hadith knowledge from Ibn Abd al-Barr, accompanied him in seeking knowledge from shaykhs, narrated from him in his books, and praised his works.