Earlier quoted context omitted.
While as argument, it may work, it does not seem to be conservatives that are afraid of AI ( at least in public fora ). But that is separate from your point on class type ( the rich ), which seems to be reason why it does not land well ( for me at least ).
The reason why this seems weird to you (and many other people for sure) is that current "conservative" politicians are actually more neoliberals than conservatives. So of course they will push cheap labour, offshoring, outsourcing and eventually AI. But it shouldn't be hard to understand actual conservative ideology here, since, like, it's already in the word.
Maybe you mean "conservative" voters? Though, these are more likely the "moderates" everyone is on about. Those are the neoliberals on both sides.