Exactly. They are not synonyms, nor does one guarantee the other. It is theoretically possible (though highly improbable) to have significant personal freedom under an unelected dictator or a monarch, but in too many situations in so many countries, people will often exercise their right and vote in leaders who will strip them of their freedom.
I think post #5 has it right. The Paraguayans, like most Latin Americans, have been screwed no matter who has ruled them because all have, in fact, ruled them.