No, they likely won't. AI has become far too big to fail at this point. So much money has been invested in it that speculation on AI alone is holding back a global economic collapse. Governments and companies have invested in AI so deeply that all failure modes have become existential.
If models can't be contained, controlled or properly regulated then they simply won't be contained, controlled or properly regulated.
We'll attempt it, of course, but the limits of what the law deems acceptable will be entirely defined by what is necessary for AI to succeed, because at this point it must. There's no turning back.