I don't think the Catholic and Orthodox churches "claim to revere" the Hebrew Bible the way you do. The Catholic Church, however scandalous its current anti-Biblicist modernism, at least has it written down in a musty old decree somewhere that scripture is absolutely inerrant on all subjects but the Orthodox have never paid it much attention.
The Orthodox do not consider the Bible to be free of human error no matter which Testament. But, unlike the Cathoic Church, the Orthodox Church does not read from the OT in the Divine Liturgy. Rather it is done during Vespers (Evening Prayers), and suually only Pslams. During Great Lent, the Orthodox read all of the OT as a matter of historical progression. The OT is understood and interpreted through the prism of the New Testament and treated as prefiguring Christ arch-types, in an allegorical way. Thus, the story of Jonah is understood to prefigure a Christ arch-type rather tha a literal narrative.
That would be Pope St. Pius X’s encyclical Pascendi Domenici Gregis (8/1907) and his syllabus of errors: Lamentabili Sane (7/1907). In Church terms thee are relatively recent documents and well worth reading.