It seems highly unlikely that the Apostle Paul was woke (in the 21st century sense) on LGBTQ issues. Still, I get your point that applying the Bronze age Hebrew culture of Leviticus with the first century Jewish culture isn't perfecr. However...
1. Paul was a religious Jewish student before becoming a Christian Apostle. He certainly read Leviticus.
2. Paul taught religiously strict gender roles, including abstinence outside of marriage and the submission of women to men. He is not really a hero of modern progressive values.
3. Since most people here dont accept the Bible, this argument seems silly. (Although that never seems to stop either of us.)