I don't think the Luddite position is that the employer has a moral responsibility to keep their employees employed.
As you said, it's "we as a society" needs to figure out a solution. If society ignores this problem, then I think the anti-technology aspect of Luddism is at least understandable IMHO.
At some 90% of human labor would become obsolete and we as a society should spend some time planning how to handle this situation. UBI is one such solution.
I think that continue paying people doing meaningless work just to preserve their dignity is stupid and counterproductive.