What it covers
Your reading is correct. AllTwo of these examples fall under the Use an Object action. The wording is very clear:
Use an Object (PHB p. 193)
When an object requires your action for its use, you take the Use an Object action.
As Eric pointed out in a comment, the Thief Archetype for the Rogue gets to Use an Object as a bonus action. They would be able to use poison, drink potions, or spread caltrops as a bonus action.
What it does not cover
Activating a magic item does not use the Use an Object action, so drinking or administering a magic potion cannot be done via the Use an Object action.
Activating an Item (DMG p. 141)
If an item requires an action to activate, that action isn't a function of the Use an Item action, so a feature such as the rogue's Fast Hands can't be used to activate the item.