I don't think regulation will achieve what they want. Nothing short of a war-on-drugs style blanket prohibition would work. And you can look there to see how ineffective that's been at keeping drugs off the streets.
Another example of this behavior. The war on drugs not working didn't stop alcohol companies from lobbying for it, any effect that suppresses compition is valuable and its not like OpenAI and the like will be paying for enforcement, you will be.
I'd be very, very surprised if OpenAI was successful in setting up a war-on-drugs style regime that simultaneously sets them up as one of the soul providers of AI (a guaranteed monopoly on AI in the US). One of the big reasons is that it would put the US at an extreme disadvantage, competitively speaking. OpenAI would not be able to hire every single AI developer, so all of that talent would leave the US for greener pastures.