It does mean empty, but it doesn't necessarily mean forever but could mean temporarily set aside.
What exactly He "emptied" Himself of and the duration thereof is and has been a debtable doctrine.
If one looks at the "kenosis" passage:
Philippians 2
4 Look not every man on his own things, but every man also on the things of others.
5 Let this mind be in you, which was also in Christ Jesus:
6 Who, being in the form of God, thought it not robbery to be equal with God:
7 But made himself of no reputation, and took upon him the form of a servant, and was made in the likeness of men:
8 And being found in fashion as a man, he humbled himself, and became obedient unto death, even the death of the cross.
Jesus made Himself of no "reputation" - that is He emptied Himself of His glory and perogatives of deity and humbled Himself in obedience to the Father (unless of course the Father allowed their use during the days of His flesh).
It does not say that the Father made Him of "no reputation" but that He Himself did it voluntarily being an equal person in the Triune Godhead.
It (
kenoo) could mean and I believe that it does mean to put aside in the sense of:
2 Corinthians 8:9 For ye know the grace of our Lord Jesus Christ, that, though he was rich, yet for your sakes he became poor, that ye through his poverty might be rich.
From then on He depended on His father for all decisions:
John 8:28 Then said Jesus unto them, When ye have lifted up the Son of man, then shall ye know that I am he, and that I do nothing of myself; but as my Father hath taught me, I speak these things.
Just before the crucifixion, He had asked His father for restoration:
John 17:5 And now, O Father, glorify thou me with thine own self with the glory which I had with thee before the world was.
even His restoration was dependent upon the will of His father.
Philippians 2
9 Wherefore God also hath highly exalted him, and given him a name which is above every name:
10 That at the name of Jesus every knee should bow, of things in heaven, and things in earth, and things under the earth;
11 And that every tongue should confess that Jesus Christ is Lord, to the glory of God the Father.
To exalt means to go from a low position to a higher position.
Revelation 1:8 I am Alpha and Omega, the beginning and the ending, saith the Lord, which is, and which was, and which is to come, the Almighty.
HankD