So, Strength is the ultimate stat. More STR = more carrying capacity, which means
Carry more food = healing.
Carry more loot = more $ for scrolls and combat consumables.
Carry more barrels = better ranged combat and trapping.
Also, high STR makes the Jump + move distance longer than movement alone, so it equates to mobility.
And Warrior gets more Feats (more stats) than any other class. (Once they take the ~!@#$%^&*()_+ level 4 cap off.)
Now, if I could only get Permanence on that potion of hill giant strength... or a girdle of giant strength... or gauntlets of ogre power...