After watching the process of this post, I'm going to add my thoughts, but am not going to debate.
First off, I've said this time and time again, when the Lord Jesus looks down from Heaven, what does He see? Not separate denominations, or specific denominations. He sees the Body of Christ.
I could care less if someone is Catholic, Lutheran, Protestant, Methodist, Non-denom or whatever. If we all worship the same Lord, that being the Lord Jesus Christ, the Risen Lord, the Messiah and Savior of all......who cares?
Whatever works for each person.
Our family goes to a non-denominational church, and there are some who stand up and raise their hands, some that clap, and some that don't.
It's not up to me to determine if they are having a "true" worship or not ~ it's up to the Lord. Whatever denomination, or non-denomination, their worship and learning is led by the Spirit and not by man.
There is no specific definition regarding a non-denomination church, because they're all varied, and not one is better than the next. It's not the church building, or the pastor, or the worship service that defines the heart of the believer, but the Lord Jesus Himself. THAT is what will define the Glory, Honor and success of each individual in whatever church they may be in.