This is where it gets murky. The algorithm could also recover a group without labeling anything — "Latent Group 7539". Even then, how do you know the algorithm

This is where it gets murky. The algorithm could also recover a group without labeling anything — "Latent Group 7539". Even then, how do you know the algorithm is recommending something "because" of the unlabeled sexual orientation class per se, and not because of some closely associated latent class?