I have never thought of being anti-AI as “Luddite”, but actually this very description of “Luddite” does sound like the concerns are in fact not completely different.
Observe:
Complaints about who profits? Check; OpenAI is earning money off of the backs of artists, authors, and other creatives. The AI was trained on the works of millions(?) of people that don’t get a single dime of the profits of OpenAI, without any input from those authors on whether that was ok.
Bargaining power? Check; OpenAI is hard at work lobbying to ensure that legislation regarding AI will benefit OpenAI, rather than work against the interests of OpenAI. The artists have no money nor time nor influence, nor anyone to speak on behalf of them, that will have any meaningful effect on AI policies and legislation.
Economic arrangements in general? Largely the same as the first point I guess. Those whose works the AI was trained on have no influence over the economic arrangements, and OpenAI is not about to pay them anything out of the goodness of their heart.
No, that's apples-to-oranges. The goals and complaints of Luddites largely concerned "who profits", the use of bargaining power (sometimes illicit), and economic arrangements in general.
They were not opposing the mechanization by claiming that machines were defective or were creating textiles which had inherent risks to the wearers.