When it comes to the believer and reading non-canonical books that have a connection with the faith, there are examples in the Bible of other books that are not inspired by the Holy Spirit-
"And the sun stood still, and the moon stopped, until the nation took vengeance on their enemies. Is this not written in the Book of Jashar? The sun stopped in midheaven, and did not hurry to set for about a whole day." (Josh 10:13 NRSV)
"Wherefore it is said in the Book of the Wars of the LORD, 'Waheb in Suphah and the wadis. The Arnon and the slopes of the wadis that extend to the seat of Ar, and lie along the border of Moab.'” (Num 21:14-15 NRSV)
"It was also about these that Enoch, in the seventh generation from Adam, prophesied, saying, 'See, the Lord is coming with ten thousands of his holy ones, to execute judgment on all, and to convict everyone of all the deeds of ungodliness that they have committed in such an ungodly way, and of all the harsh things that ungodly sinners have spoken against him.'” (Jude 1:14-15 NRSV)
The Apostle Paul writes: "When you come, bring the cloak that I left with Carpus at Troas, also the books, and above all the parchments." (2Tim 4:13 NRSV)
That sounds to me like Paul is referencing books other than inspired scripture.