This argument feels disingenuous. There aren't people out there trying to get AI votership or property rights. Even the most ardent AI supports will agree that AIs shouldn't automatically enjoy the inherent rights we enjoy as human beings. This is a pure strawman.
The issue at hand is copyright laws, and IMO the conversation is a necessary one. With or without AI, a significant amount of people have been wondering whether or not the current set of legislation is effective in enforcing the spirit of the copyright law, which is to incentivize and protect original ideas. The fact that we have AI's that can learn and iterate at blazing speeds was just a catalyst that exposed some large holes in our legal system - the holes were always there.
The question now is where do we draw the line for AI? Even if everyone in the world agrees that "Humans [...] should retain many inherent rights that AI models should not", we still need to decide where that line should be drawn.