I can offer two off hand that disagrees (Strongs and Mounce, as I referenced already).
You have not yet offered any reference that states מוּסָר to be defined as "punishment".
3. LN 38.1–38.13 punishment, i.e., an infliction of a judicial penalty based on a standard (Pr 16:22; Isa 53:5), note: for NIV text in Pr 7:22, see 4591;
James Swanson, Dictionary of Biblical Languages with Semantic Domains : Hebrew (Old Testament) (Oak Harbor: Logos Research Systems, Inc., 1997).
4148. מוּסָר musar (416b); from 3256; discipline, chastening, correction:—chastening(3), chastise(1), correction(3), discipline(18), disciplines(1), instruction(20), punishment(2), reproof(1), warning(1).
Robert L. Thomas, New American Standard Hebrew-Aramaic and Greek Dictionaries : Updated Edition (Anaheim: Foundation Publications, Inc., 1998).
But all such discipline becomes futile through the resistance and stubbornness of those to whom it is given (cf. Jer 2:30; 5:3; 7:28; 17:23; 32:33). Isaiah 53:5 adds “the chastisement of our peace was upon him” (RSV “the chastisement that made us whole”). This is clearly a context of substitutionary atonement. Here the Servant of the Lord is seen as taking “the severe punishment” vicariously, more clearly revealing God’s merciful ways of dealing with his rebellious (pešaʿ) people through redemptive judgment and suffering.
Paul R. Gilchrist, “877 יָסַר,” ed. R. Laird Harris, Gleason L. Archer Jr., and Bruce K. Waltke, Theological Wordbook of the Old Testament (Chicago: Moody Press, 1999), 387.
2. more severely, chastening, chastisement: a. of God יהוה ˊמ chastening of Yahweh. b. of man.
Richard Whitaker et al., The Abridged Brown-Driver-Briggs Hebrew-English Lexicon of the Old Testament: From A Hebrew and English Lexicon of the Old Testament by Francis Brown, S.R. Driver and Charles Briggs, Based on the Lexicon of Wilhelm Gesenius (Boston; New York: Houghton, Mifflin and Company, 1906).
discipline n., the imposition of painful consequences or other disadvantages upon someone for their disobedience as part of a process of improving someone’s character or actions: Dt 11:2; Is 30:32; 53:5; Je 7:28; 30:14; Ho 5:2; Pr 15:10 (7×)
The Lexham Analytical Lexicon of the Hebrew Bible (Bellingham, WA: Lexham Press, 2017).
chas•tise \(ˌ)chas-ˈtīz\ verb transitive
chas•tised; chas•tis•ing [Middle English chastisen, alteration of chasten] 14th century
1: to inflict punishment on (as by whipping)
Inc Merriam-Webster, Merriam-Webster’s Collegiate Dictionary. (Springfield, MA: Merriam-Webster, Inc., 2003).