I use an Electricians pliers to pull unusable ammo apart.
The kind that has a crimping tool in it.

Put the round in the shell holder,,no die or other accessory in the press.
Raise the round till the bullet itself is above the top edge of the press.
Grip the bullet with the crimp tool edge of the pliers and hold it there.
The pull the round back down in the press.

The bullet gripped by the pliers will be pulled against the top edge of the press and stay there. The case will by pull downward and free of the bullet.

Yes the crimp tool will leave a mark on the bullet, but I haven't seen much of any difference in 'my' shooting.
They have all been usable for range shooting.

Lead bullets are a bit more difficult to pull this way as the lead can start to deform around the grasp of the crimp tool edge as the case is pulled down and away.
But I've still have good luck de-bulleting most of those as well.

Most I do 'dud rounds' left by other people at the range. Some are just that, others are dented cases and such.
The bullet is what I'm after and the primer is an extra prize.