I don't think it's premature at all. HN often objects to this sort of "overreach" and then witnesses the consequences firsthand (eg. Apple's App Store censorship). We can already demonstrate that AI has mishandled intellectual property and caused damage to rightsholders - I definitely don't think robots are coming for my job but I absolutely support corrective regulation. The alternative is forfeiting copyright as we know it.
The US cannot move fast and break things forever. If American businesses want to sell digital tchotchkes, then we first have to convince rightsholders that they own anything of value.