I'm agnostic on the issue. Keep in mind that classical Christian Unitarians don't deny the existence of Christ and the Holy Spirit, but don't necessarily see all three as being equally eternal aspects of one God. I don't see any significant theological implications in whether God was always three-in-one.
The problem is if the Trinity isn't correct, then worshipping Jesus and the Holy Spirit would basically be idolatry.
Classical Unitarianism didn't deny they were part of God, just that they weren't always so. That said, I'm a UU because I'm a Universalist, not a Unitarian.