I’ve used drills to remove axles before, it’s a great method. If for whatever reason the axle is so tight that you can’t just unscrew it like he did, make sure the drill turns ccw. Then just hold the yoyo firmly, and turn on the drill.
if you have some kind of a vice, that should work as well. I’ve never used it for a yoyo, but I have for a 30 year old, rusted to all heck bike hub. Just put the axle into the vice, and tighten it as much possible. Then give the yoyo a sharp turn ccw to loosen it up. from there it should come right out.
You see in the middle there is some half circle shaped wire cutter (the small ones with different sizes), try using the size that “stab” the axle. I use this to remove stuck fireball axle that can’t be removed by normal pliers. The axle will be crushed this way, then just twist it firmly.