Episcopal Theologians Detail Both Sides of Gay Debate

From The Christian Post, comes an article by Lillian Kwon. She begins her article by saying:

A panel of theologians in The Episcopal Church released on Wednesday a draft document on the divisive issue of same-sex relationships, detailing the positions of the “traditionalists” and the “liberals.”

Four “liberal” theologians argue the following point:

The four theologians argue that those who are gay or lesbian need same-sex relationships for their own sanctification “because neither opposite-sex relationships nor celibacy could get deeply enough into their hearts to promote lifelong commitment and growth.

A question: Can anyone please explain to me what the above phrase, “could get deeply enough into their hearts” might mean?