The video above is correct but CycleRanger's explanation is wrong.
A center stand has a cleverly designed lever built in. The movement you want is pulling UP (and pushing down with your foot), NOT PULLING BACK. The lever moves the bike back when you pull UP, not the reverse of this.
The lever moves the bike back when you pull UP, not the reverse of this. The lever moves the bike back when you pull UP, not the reverse of this. The lever moves the bike back when you pull UP, not the reverse of this. The lever moves the bike back when you pull UP, not the reverse of this. The lever moves the bike back when you pull UP, not the reverse of this. The lever moves the bike back when you pull UP, not the reverse of this. The lever moves the bike back when you pull UP, not the reverse of this. The lever moves the bike back when you pull UP, not the reverse of this. The lever moves the bike back when you pull UP, not the reverse of this. The lever moves the bike back when you pull UP, not the reverse of this. The lever moves the bike back when you pull UP, not the reverse of this. The lever moves the bike back when you pull UP, not the reverse of this. The lever moves the bike back when you pull UP, not the reverse of this. The lever moves the bike back when you pull UP, not the reverse of this. The lever moves the bike back when you pull UP, not the reverse of this. The lever moves the bike back when you pull UP, not the reverse of this. OK.
If you are pulling the bike back then you're not using the mechanical advantage the lever provides.