connotations
Probably not helpful in this case, but here in Oregon, "harem" also refers to a group of isolated female seals guarded by a dominant male.
In Montana, Fish Wildlife & Parks uses "harem" to describe cow elk under the protection of a bull. As in human harems, there's a self-administered pecking order. For instance, some cows post themselves as sentinels watching for predators. Others dictate who beds where.
I'm sure there are other uses of the word, but even in the context of watching elk graze, some of my critiquers objected strongly to using the term in any other situation than with veils and baggy see-through pants.