First of all, Solomon put the "poly" in polygyny so it is absurd to intimate that he would be one to promote monogamy, but if you are desperate to defend a false theology you will grasp at almost anything.
Second, the words used for wife, wives, woman, and women are used interchangeably throughout the Old Testament and throughout the New Testament. The doctrine that the translator wishes to convey tends to lead to the choice of the word used if not based on absolute grammar requirements due to the sentence structure:
H802
נשׁים אשּׁה
'ishshâh nâshı̂ym
ish-shaw', naw-sheem'
The first form is the feminine of H376 or H582; the second form is an irregular plural; a woman (used in the same wide sense as H582).: - [adulter]ess, each, every, female, X many, + none, one, + together, wife, woman. Often unexpressed in English.
Hosea 2:2 Plead with your mother, plead: for she is not my wife (H802), neither am I her husband: let her therefore put away her whoredoms out of her sight, and her adulteries from between her breasts;
Zechariah 5:7 And, behold, there was lifted up a talent of lead: and this is a woman (H802) that sitteth in the midst of the ephah.
Zechariah 12:14 All the families that remain, every family apart, and their wives (H802) apart.
Zechariah 14:2 For I will gather all nations against Jerusalem to battle; and the city shall be taken, and the houses rifled, and the women (H802) ravished; and half of the city shall go forth into captivity, and the residue of the people shall not be cut off from the city.
G1135
γυνή
gunē
goo-nay'
Probably from the base of G1096; a woman; specifically a wife: - wife, woman.
Matthew 15:28 Then Jesus answered and said unto her, O woman (G1135), great is thy faith: be it unto thee even as thou wilt. And her daughter was made whole from that very hour.
Matthew 15:38 And they that did eat were four thousand men, beside women (G1135) and children.
Matthew 18:25 But forasmuch as he had not to pay, his lord commanded him to be sold, and his wife (G1135), and children, and all that he had, and payment to be made.
Matthew 19:8 He saith unto them, Moses because of the hardness of your hearts suffered you to put away your wives (G1135); but from the beginning it was not so.
And third, in dealing with the relationship to a wife the singular is often used to express the relationship of a husband to his wife on an individual basis even by those with more than one wife. A man with more than one wife would not point to one of his wives and state "She is my wives", the singular form would be used to indicate that she is his wife. Another way to express the use of language is like the way it is used in this verse:
Exodus 20:17 "You shall not covet your neighbor's house; you shall not covet your neighbor's wife, or his male servant, or his female servant, or his ox, or his donkey, or anything that is your neighbor's."
Following the monogamy only doctrine we can logically conclude that a man may have only one house, wife, male servant, female servant, ox, donkey, or anything that he is able to posses.
Just try to tell a guy with 5 beers in a cooler and a big screen TV on a Sunday afternoon that he can have only one beer...you might find that this logical monogamy doctrine is overruled rather promptly.