My belief is that yes, tulpas are people of their own (and therefore moral patients). My reasoning is as follows.
If I am a person and have a tulpa and they are not a person of their own, then there must either (a) exist some statement which is a requirement for personhood and which is true about me but not true about the tulpa, or (b) the tulpa and I must be the same person.
In the case of (a), tulpas have analogues to emotions, desires, beliefs, personality, sense of identity, and they behave intelligently. They seem to have everything that I care about in a person. Your mileage may vary, but I've thought about this subject a lot and have not been able to find anything that tulpas are missing which seems like it might be an actual requirement for personhood. Note that a useful thought experiment when investigating possible requirements for personhood that tulpas don't meet is to imagine a non-tulpa with an analogous disability, and see if you would still consider the non-tulpa with that disability to be a person.
Now, if we grant that the tulpa is a person, we must still show that (b) is wrong, and that they are not the same person as the their headmate. My argument here is also very simple. I simply observe that tulpas have different emotions, desires, beliefs, personality, and sense of identity than their headmate. Since these are basically all the things I actually care about in a person, it doesn't make sense to say that someone who differs in all those ways is the same. In addition, I don't think that sharing a brain is a good reason to say that they are the same person, for a similar reason to why I wouldn't consider myself to be the same person as an AI that was simulating me inside its own processors.
Obviously, as with all arguments about consciousness and morality, these arguments are not airtight, but I think they show that the personhood of tulpas should not be easily dismissed.
Edit: I've provided my personal definition of the word "tulpa" in my second reply to Slider below. I do not have a precise definition of the word "person", but I challenge readers to try to identify what difference between tulpas and non-tulpas they think would disqualify a tulpa from being a person.
That is exactly my stance. I don't think creating tulpas is immoral, but I do think killing them, harming them, and lying to them is immoral for the same reasons it's immoral to do so to any other person. Creating a tulpa is a big responsibility and not one to take lightly.
I have not consumed the works of the people you are talking about, but yes, depending on how exactly they model their characters in their minds, I think it's possible that they are creating, hurting, and then ending lives. There's nothing I can do about it, though.
I don't really know. I'm basing my assertion that I make less of a distinction between characters and tulpas than other people on the fact that I see a lot of people with tulpas who continue to write stories, even though I don't personally see how I could write a story with good characterization without creating tulpas.