Is the following good translation and interpretation, or is it going too far reading Christianity back into the Old Testament?

Psalm 8:4-6 (An American Translation by William F. Beck, Lutheran)

"what is man that You should think of him,
or the son of man that You should come and visit him?

You make Him do without God for a little while;
then crown Him with glory and majesty
and make Him ruler over what Your hands have made,
putting everything under His feet:"
(Footnote: Heb 2:6-9; 1 Cor 15:27,28; Eph 1:22)

Luther translated v5 "Thou wilt let Him be forsaken of God for a little while" taken from The Lutheran Study Bible

From The Popular Commentary (1924) by Paul E. Kretzmann (Lutheran) on this passage:

"v. 4. what is man that Thou art mindful of him, that the great God should spend any thoughts upon human nature, so far below Him that a comparison is not possible, and the Son of Man, that Thou visitest Him? The reference, as Heb_2:6-10 shows, is to Christ, who assumed human nature, with all its weakness and lowliness, who was made in the likeness of men and was found in fashion as a man, Php_2:7-8. It is to this singular man alone that the next words can apply.

v. 5. For Thou hast made Him a little lower than the angels, literally, "Thou hast caused Him to lack a little of God," this being fulfilled when the Son of Man, in the depths of His sufferings for mankind, was forsaken by His heavenly Father, as He Himself cries out, and hast crowned Him with glory and honor, with the majesty and glory peculiar to the essence of God, this taking place when Jesus Christ, the Son of Man, entered upon His state of exaltation, when the Savior, who had deliberately waived the right to use the divine power and majesty communicated to His human nature, assumed and practiced this right, also according to His humanity.

v. 6. Thou madest Him to have dominion over the works of Thy hands, as the Ruler of the entire universe, with boundless power and majesty, and that according to His human nature; Thou hast put all things under His feet, Eph_1:22 "