Do keep in mind that both Trump and Andreessen & co are not interested in deregulation for ideological reasons, only because this specific deregulation is favourable for the men in question.
It's not about "open AI" but just opposition to the tech giants. And as a consequence, there's a danger that they may pivot on AI regulation the moment anything happens to the current AI bubble that makes it unappealing for VC funding. (OpenAI & co raising the prices on the models to above operating costs would almost certainly eviscerate the AI startup scene)