Pain in Childbirth?

Scripturally speaking, is there a warrant for believing pain in childbirth is inevitable? "In sorrow thou shalt bring forth children" and "in sorrow shalt thou eat [the food of the ground] all the days of thy life" [Genesis 3:16-17]. So, if it means women birth in agony, it follows that men should be in agony every time they take a bite of food and try to swallow it. Let's look at assorted versions of this scripture:

From the LDS King James Version:

16 Unto the ^awoman he said, I will greatly ^bmultiply thy ^csorrow and thy conception; in sorrow thou shalt bring forth ^dchildren; and thy desire shall be to thy ^ehusband, and he shall rule over thee. 17 And unto Adam he said, Because thou hast hearkened unto the voice of thy ^awife, and hast eaten of the tree, of which I commanded thee, saying, Thou shalt not eat of it: ^bcursed is the ground for thy sake; in ^csorrow shalt thou eat of it all the days of thy life;

Take note of the footnote: It is Adam's footnote that says "sorrow" could also be translated "travail" or "pain".

Footnote 16c - HEB increase thy discomfort and thy size (i.e., in the condition and process of pregnancy)

Footnote 17c HEB travail, pain

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Genesis 3:16-17 on lds.org has no footnote for Eve's "sorrow" and the footnote for Adam's "sorrow" is - HEB travail, pain

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The Pearl of Great Price, which should be the best for LDS students to go by, says the following:

Moses 4:22-23:

22 Unto the woman, I, the Lord God, said: I will greatly multiply thy sorrow and thy conception. In ^asorrow thou shalt bring forth children, and thy desire shall be to thy ^bhusband, and he shall rule over thee. 23 And unto Adam, I, the Lord God, said: Because thou hast hearkened unto the voice of thy wife, and hast eaten of the fruit of the tree of which I commanded thee, saying—Thou shalt not eat of it, ^acursed shall be the ground for thy sake; in ^bsorrow shalt thou eat of it all the days of thy life.

The footnotes for "sorrow" only refer one to Genesis and to the Topical Guide.

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Apostolic Bible Polyglot w/Strong's Numbers:

(Gen 3:16) And^G2532 to the^G3588 woman^G1135 he said,^G2036 In multiplying^G4129 I will multiply^{G4129 G3588} your distresses,^{G3077 G1473} and^{G2532 G3588} your moanings.^{G4726 G1473} In^G1722 distresses^G3077 you will bear^G5088 children,^G5043 and^G2532 to^{G4314 G3588} your husband^{G435 G1473 G3588} your submission,^{G654.1 G1473} and^G2532 he^G1473 will dominate you.^{G1473 G2961}

(Gen 3:17) And to ^{G3588 G1161} Adam^G* he said,^G2036 Because^G3754 you hearkened to^G191 the^G3588 voice^{G5456 G3588} of your wife,^{G1135 G1473} and^G2532 ate^G2068 from^G575 the^G3588 tree^G3586 of which^G3739 I gave charge^G1781 to you, saying ,^G1473 This^G3778 alone^G3441 you are not^G3361 to eat^G2068 from^G575 it --^G1473 and you ate;^G2068 accursed^G1944 is the^G3588 land^G1093 among^{G1722 G3588} your works;^{G2041 G1473} in^G1722 distresses^G3077 you will eat^G2068 it^G1473 all^G3956 the^G3588 days^{G2250 G3588} of your life.^{G2222 G1473}

G3077 Distresses – lupè loo'-pay – Apparently a primary word; sadness: -grief, grievous, + grudgingly, heaviness, sorrow. Strong's Hebrew and Greek Dictionaries. Same meaning for both Adam and Eve.

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Brenton's English Septuagint:

Gen 3:17 And to the woman he said, I will greatly multiply thy pains and thy groanings; in pain thou shalt bring forth children, and thy submission shall be to thy husband, and he shall rule over thee.

Gen 3:18 And to Adam he said, Because thou hast hearkened to the voice of thy wife, and eaten of the tree concerning which I charged thee of it only not to eat--of that thou hast eaten, cursed is the ground in thy labours, in pain shalt thou eat of it all the days of thy life.

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Geneva Bible 1587:

Gen 3:16 Vnto the woman he said, I will greatly increase thy sorowes, and thy conceptions. In sorowe shalt thou bring foorth children, and thy desire shalbe subiect to thine husbande, and he shall rule ouer thee.

Gen 3:17 Also to Adam he said, Because thou hast obeyed the voyce of thy wife, and hast eaten of the tree, (whereof I commanded thee, saying, Thou shalt not eate of it) cursed is the earth for thy sake: in sorowe shalt thou eate of it all the dayes of thy life.

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King James Version 1611:

Gen 3:16 Unto the woman he said, I will greatly multiply thy sorowe and thy conception. In sorow thou shalt bring forth children: and thy desire shall be to thy husband, and hee shall rule ouer thee.

Gen 3:17 And vnto Adam he said, Because thou hast hearkened vnto the voyce of thy wife, and hast eaten of the tree, of which I commaunded thee, saying, Thou shalt not eate of it: cursed is the ground for thy sake: in sorow shalt thou eate of it all the dayes of thy life.

There are newer versions. I tried to find what I thought would be closest to the original. Some newer ones say the word for Adam (sorrow) and the word for Eve (sorrow) are different; however, I believe that was changed because of the human culture's belief that childbearing should be much more painful than eating.

Question: What would our culture be like if someone had decided a few thousand years ago that it was the eating that would be painful and the childbirth that would be joyful?