From the article you wanted me to read.
"Prayers are not physical things and cannot be physically offered to God. Thus the saints in heaven are offering our prayers to God mentally."
That statement was made in preparation of justifying praying to saints rather than directly to God. The statement is made "prayers are not physical things". That sets the mental picture that we as physical humans cannot approach God. It's a false image. It then attempts to bring the reader along this false path. The saints don't offer our prayers to God "mentally". The entire statement is an attempt to paint a mental picture that we are incapable of approaching the throne of God. The entire statement is a lie from Satan.
The truth is that we worship and pray in spirit. We spiritually are to go directly to the throne of God in Jesus name. No where in scripture are we told by word or example that some so called saint has greater access or greater influence then each of us have as individuals.
The entire praying to Mary and the so called saints is totally of pagan origin and Satanic.
There is no middle-man between us and God, our prayers do not have to pass through some holy bureaucracy
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No, that absolutely does not set the mental picture that we as physical humans cannot approach God (unless you are speaking about something like physically flying up to heaven in the flesh, and physically falling on the floors of heaven).
Earthly human prayers are expressed through thoughts (mental pictures) and vocalizations, and that does not at all say that we cannot approach God directly. That is a fiction.