This is different than any other time, as on Holy Thursday/Maundy Thursday, the procession from the altar to the place of repose is to represent our Lord leaving and going to the Mount of Olives/garden of Gethsemane.
As it says in the Gospel… Then, after singing a hymn,they went out to the Mount of Olives.
We remain to spend one hour with Him, "Could you not keep watch for one hour "? We recall the Lord’s agony in the garden. It was suggested on the site that I will place below to read some parts of the Gospel of St. John Chapters 13-17. To pray and meditate.
As others have already pointed out, exposition with a monstrance is never permitted on that night, but rather taken, to a place of repose.
“Paschales Solemnitatis,” No. 55, reflecting the liturgical reform, specifies:** “The place where the tabernacle or pyx is situated must not be made to resemble a tomb, and the expression ‘tomb’ is to be avoided.** The chapel of repose is not prepared so as to represent the ‘Lord’s burial’ but for the custody of the eucharistic bread that will be distributed in Communion on Good Friday.”
ewtn.com/library/Liturgy/zlitur73.htm