What is the conservative view on how intersex people should live their lives
What is the conservative view on how intersex people should live their lives

Intersex - Wikipedia

Sports? Marriage? Relationships? Professional environment? Pronouns?
Does it change based on the cause of the person's intersex diagnosis?
what do you mean? people with a variety of intersex conditions have been extensively documented by medical science.
Well yes but you asked for the conservative view
But reading the medical literature is way more work than just making a conclusion based on poorly informed intuitions mostly from frequent scapegoating from people in positions of authority (politics, infotainment 'news', and religious clergy).