The Size of a unit determines how many Supplies they consume each turn. In previous games, this was internally known as Supply Size.
To see a unit's supply usage, one can simply click on "Size" on their stat sheet. For a quick and click-less calculation, though:
Yes, the manual is wrong about this. You're not crazy. It's right about Animals eating less, however. For a non-Animal without any Gluttony, here's how Supply usage relates to size:
Size | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
---|---|---|---|---|---|---|---|---|---|---|
Usage | 0.5 | 0.5 | 1 | 1.5 | 2 | 2.5 | 3 | 3.5 | 4 | 4.5 |
A Glutton who Needs not Eat will still eat; they just won't get Diseased from Starving. For those with the "Need not Eat" trait and not the Gluttony trait, their supply usage before their Supply Bonus is zero.