Yes, true to a degree but Jesus was as canny as can be when getting the message out. The Truth that was quoted ie “God the Son is God” is not actually taken from Jesus direct words. In Matthew 16 this is how the conversation transpired…
13 When Jesus came to the region of Caesarea Philippi, he asked his disciples, “Who do people say the Son of Man is?”
14 They replied, “Some say John the Baptist; others say Elijah; and still others, Jeremiah or one of the prophets.”
15 “But what about you?” he asked. “Who do you say I am?”
16 Simon Peter answered, “You are the Messiah, the Son of the living God.”
17 Jesus replied, “Blessed are you, Simon son of Jonah, for this was not revealed to you by flesh and blood, but by my Father in heaven. 18 And I tell you that you are Peter,** and on this rock I will build my church, and the gates of Hades[c] will not overcome it. 19 I will give you the keys of the kingdom of heaven; whatever you bind on earth will be[d] bound in heaven, and whatever you loose on earth will be[e] loosed in heaven.” 20 Then he ordered his disciples not to tell anyone that he was the Messiah.**
Basically He gets others to articulate these truths using their vocabulary. He does that and also talks in parables which would certainly have annoyed a lot of people who just wanted some straight talk from the horses mouth. It would have made things so much easier, but the fact is that no one can possess those absolute Truths. We know they exist but can only express them to the limits of our human capacities.
But in John’s Gospel. Jesus was more specific;
Jesus answered, “If I glorify myself, my glory is worth nothing; but it is my Father who glorifies me, of whom you say, ‘He is our God.’ You do not know him, but I know him. And if I should say that I do not know him, I would be like you a liar. But I do know him and I keep his word. Abraham your father rejoiced to see my day; he saw it* and was glad.So the Jews said to him, “You are not yet fifty years old and you have seen Abraham?”* 58* Jesus said to them,i “Amen, amen, I say to you, before Abraham came to be,** I AM**