It's not a right of the machine we're talking about, but the rights of the copyright holder that is purporting to claim that ML models trained with their works

It's not a right of the machine we're talking about, but the rights of the copyright holder that is purporting to claim that ML models trained with their works is a derivative of their works, and thus can claim copyright over the ML model. I do not believe such rights exist under current copyright laws. Others argue that it does (or ought to exist).