Read Ephesians 4 and Titus 2 for Godly example of men and women, but, no, women are not alone in friendzoning, it goes both ways.
I think, someone who friendzones another, guy or gal initiating, is just trying to follow the Lord the best they know how and if they feel like that person is going to be benign in a relationship to helping them progress into the Godly man or women God intends, then, that's the will of God and it's best that the two quit being boyfriend-girlfriend friends, if they ever were, and, just be friends.
Hey, we who are His, we want Him to lead our lives, right ?
The Lord leads.
The best news we can have, and, I'll call it 'perfect,' is that Christ said in the gospel books, speaking to The Twelve (disciples) that 'I no longer call you disciples, I call you friends.'
This was Jesus' way of explaining that the relationship with The Twelve had deepened through their having listened to Him explain things of His order on Earth and how all His order came down from His Father's authority in heaven