Look here at 1:20
Is he actually serious? What a f**king waste of time.
Other than wiping the soldering iron with a tissue first, that is exactly the way it should be done and pretty similar to the IPC training which I have been on.
Never use those tip tinners that you can buy unless your tip is well and truly screwed, they're highly activated solutions which will cause much faster damage to the tip.
A damp sponge should be all you need, and remember to leave a nice blob of solder on the iron like he did after use.
People often wipe the iron after each connection, but actually the correct method is to wipe clean BEFORE the next connection reducing the time for which oxidation can occur to the tip.