Okay need I say the obvious? If you rarely or never acknowledge or communicate directly with Jesus or the Holy Spirit, you don't even have a trinitarian God, anymore. You have effectively truncated Him.
We might as well then whittle who God reveals Himself to be to the lowest common denominator, become either a unitarian or a Jesus-only Pentecostal (not all Pentecostals are Jesus only, just most of those in the United Pentecostal Church).
If it's never important to witness to Jesus, you take away the gospel itself.
Imagine, for example, all those who directly approached Jesus on earth for healing. I'm sure many of them had already prayed to the Father. But God chose to heal them directly thru accessibility to the Son. (I think of, for example, the woman who had an issue of blood, and upon just merely touching Christ, Jesus felt power drained from Him to her.)