I think your analogy is flawed to an extreme.
Does God live by faith rather than by knowledge?
Did Jesus not know many answers rather simply having faith that they were correct?
When we move from "through a glass darkly" to "face to face", is that not like moving from faith to knowledge?
Are we not going to be like Him at the face to face?
"Now faith is the substance of things hoped for, the evidence of things not seen." Heb 11:1
And then what will there be when faith is finished, but knowledge?
"Looking unto Jesus the author and finisher of our faith; who for the joy that was set before him endured the cross, despising the shame, and is set down at the right hand of the throne of God." Heb 12:2
"For now we see through a glass, darkly; but then face to face: now I know in part; but then shall I know even as also I am known." I Cor 13:12
"Beloved, now are we the sons of God, and it doth not yet appear what we shall be: but we know that, when he shall appear, we shall be like him; for we shall see him as he is." I John 3:2