Lying about what? If he wrote what he believed then he wasn't lying, FK. What he wrote is that the Spirit "will not speak on His own initiative, but whatever He hears." That doesn't sound like God. He will glorify Jesus because he will take what Christ's, and that is the same as the Father's. That doesn't describe someone co-equal.
When I said this is non-Trinitarian I mean non-Trinitarian as Christianity defines it. Just because you mention Father, Son, and the Holy Spirit is itself not Trinitarian. If it were, then the Morons and some Protestant sects are "Trinitarian" and "Christian" too.
The concept of Trinity has to do with how we see the divine Hypostases, namely as one God, co-eternal, and co-equal. In John's presentation, the Spirit is subordinated to both the Father and the Son, who is himself subordinated to the Father. That is not orthodox Trinity no matter how you turn it around.
Just my two-cents on this. We believe in the co-eternal and co-equal one God in three persons precisely because we know there is only one God. There are not three gods but one, only God. He exists in three persons - the Father, the Son and the Holy Spirit. John's gospel makes it clear that Jesus himself claimed to be the I AM which is the personal name Almighty God told to Abraham and Moses. The religious leaders at the time even took up stones to kill him for daring to say so. What you may be missing is that even though they are all equal and one, they have a kind of hierarchy in purpose. Scripture says the Son proceeds from the Father. Jesus said he does nothing but what the Father gives him to do. Jesus said he would send the Spirit to us to indwell us to empower our lives and to illuminate truth.
To view it in this way it looks like: Father to Son to Holy Spirit in an order, not of dominance but in purpose. As an example we are told that the wife submits to the husband who submits to God. But in another place we are told that we are all one in Christ whether male or female, bound or free, Jew or Gentile. The husband is equal to his wife in the view of God, but there is an order.
Like I said, it's my two-cents. It hardly can explain in a few sentences the majesty of God and the full understanding of it all will be, I believe, reserved until we have the "mind of Christ" and will finally be able to understand the magnitude of it.
Lying about what? If he wrote what he believed then he wasn't lying, FK.
John's Gospel is presented as his eyewitness account of what he saw and what Jesus taught. It is presented as fact, not John's opinion. There is no supposition or conjecture. Therefore, if what he wrote is wrong he is either a liar or crazy.
What he wrote is that the Spirit "will not speak on His own initiative, but whatever He hears." That doesn't sound like God. He will glorify Jesus because he will take what Christ's, and that is the same as the Father's. That doesn't describe someone co-equal.
In the proper context it is fully consistent with co-equality. Many times the Bible explains concepts that are in truth beyond our complete comprehension in terms we can best understand. What is described here are roles of Persons, for our benefit, not superior-subordinate relationships. Throughout all of the Gospels Jesus says that He is there to do the will of the Father, yet no Christian interprets this to mean the Son is inferior to the Father. To interpret this theme as a superior-subordinate relationship is to simply declare the whole of Christianity void on its face.