So with Abhorsen's list of apparitions there I went to look at Alkharad's old telepresence spell.
Bolding some relevant sections and cutting others. Mathilde outright calls it an apparition, but I suspect that's as much a turn phrase as technical term. It's still possible the spell is not a bound apparition, but I'm going to assume for the purpose of this inquiry that it is.
Being made of necromancy means can't be the Whispering Darkness or Black Essence, and beyond that being a humanoid silhouette seems like something that could be consistent with a Handmaiden, Malbrothax, Lost Child, or Fat Man. Of them the Handmaiden seems like the best fit: Not overly large or small as a child or fat man would bit, or in the questionable situation of Malbrothax.
The apparition form talks, but so can the Rider in Red, it seems: It's just that apparitions normally have nothing much to say. Also noteworthy is that the vampire is capable of wielding magic and engaging in combat through that spell.
It's appearance would also place a date on when Alkharad made the spell: Since I'm getting the understanding that an apparition's form is a core part of the spell and can't easily be updated later, it having the appearance of of a Time of Three Emperors noble would imply that was when the spell was crafted. Alkharad himself might be older, but this part of his research would be fairly recent in the scheme of things.
Also something relevant that came up in the same update while looking over the spell:
It's iffy whether a technique of necromancy would apply to a Directed version of an apparition spell, but not out there given that it seems to be as much an exercise in personal growth and mundane multitasking ability as one of the spell itself.
That said, while Alkharad was both teaching in the classroom and controlling the spell in that same update he did have to "come over there himself" to deal with one of the students so even if multitasking is possible it seems like there could be limits.
That's all assuming this is, in fact, an apparition spell, but while I don't think the update confirms it, I also I don't think anything in there weakens the case or rules it out, either.