[tmtvl]

It's most likely false, considering the rate of malnourishment before the Industrial and Agricultural Revolutions.

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There’s some nuance/caveats, but here’s a study showing humans lost height during the switch from hunting/gathering to agriculture:

https://modernfarmer.com/2022/04/farming-made-our-ancestors-...

[SketchySeaBeast]

And, though I'm sure there are going to be objections, in both time periods people would be considered nutritionally deficient when compared to today.

[tmtvl]

Yes, however I don't think many hunter/gatherers had cupboards to sleep in...