I think it is factually incorrect to say that the late Saddam Hussein was democratically elected. You are correct that Putin was. (Hitler is another example of an elected dictator, although the thuggery of his National Socialist German Workers [Nazi] Party before the election meant that the election cannot really be called free and fair.)
"In 1968, Saddam participated in a bloodless but successful Ba'athist coup that resulted in Ahmed Hassan al-Bakr becoming Iraq's president and Saddam his deputy. During al-Bakr’s presidency, Saddam proved himself to be an effective and progressive politician, albeit a decidedly ruthless one."
. . . .
"In 1979, when al-Bakr attempted to unite Iraq and Syria, in a move that would have left Saddam effectively powerless, Saddam forced al-Bakr to resign, and on July 16, 1979, Saddam Hussein became president of Iraq. Less than a week later, he called an assembly of the Ba'ath Party. During the meeting, a list of 68 names was read out loud, and each person on the list was promptly arrested and removed from the room. Of those 68, all were tried and found guilty of treason and 22 were sentenced to death. By early August 1979, hundreds of Saddam's political foes had been executed."
http://www.biography.com/people/saddam-hussein-9347918