This is another point I have to comment on.
The Warlord is none of the things you've listed. He's not a commander, king, war marshal, or leader. The "Leader" of the party is chosen not by the character class, but by some agreement at the table.
He is also not the tactician, strategist, or heart of the team. First because what we're talking about is a group of 4-6 people who are engaged in very small scale combat. Further, each other character is either a master of combat, master of stealth, or extremely intelligent. If they can't figure out "Tactics" in a fight that is generally no more complex than "fighters stand in front, spellcasters/archers behind them" then we're talking about a group with a collective intelligence lower than a 3. Second, strategies are decided by discussion amongst the Players, being the "Warlord" doesn't give the player the right to dictate strategy and tactics to everyone else, so the Warlord pretty much has nothing to do with strategy and tactics.
I haven't yet understood why people keep assigning all of these qualities to the Warlord class and his abilities which bear little relation to what it is and what it's abilities do. The Warlord class is nothing more than a support class that is meant to buff the Fighters and heal, he's a non-magical buff mage. I honestly don't understand why anyone would even want to play one, he's strictly worse than every other option you could take based on what you want to do with it. If you want to be pushing things around the battlefield and buffing fighters than being a Wizard will always be better than being a Warlord. If you want to be healing and buffing fighters then being a Cleric will always be better than being a Warlord. Dual classing Cleric/Wizard would be substantially better than being a Warlord.