Regardless of what rank he holds, Putin will be the man running the show for the duration of his premiership and probably for a while after he’s out of office. He’s ex-KGB, that’s just how they do things.
In Iran the man in charge is Ali Khamenei, the supreme leader or Ayatolla. This is a religious appointment. He wasn’t qualified when he took office but a “few” religious leaders is all that was needed to raise his Islamic rank to that required by Iranian law. He’ll be in charge until the world grows a pair and helps the people overthrow the government when the election “winner” really comes in 3rd place.