Interesting, I suppose it can work because male hymenopterans (ants, bees and wasps) are haploid, so the queen doesn't need two copies of the "foreign" genes to produce a male of the other species but just one copy, the one that she coincidentally got from a male from this foreign species. So the female can produce a male from another species without worrying about incompatibility with her own genes (apart from mitochondria).
However it does mean that the male clone has to develop directly from a sperm cell from its father (and the mitochondria from the ant queen) rather than an ovum, or am I wrong?
The paper https://www.nature.com/articles/s41586-025-09425-w says:
Embryos devoid of maternal DNA have been observed in other groups, with the fertilization of non-nucleate ovules or the elimination of the maternal genome after fertilization.
So the ovum is probably still involved, just without its own nuclear DNA (except when producing diploid workers).