Using printed tissues of your own to append to your body would be some wacky-ass abuse of 3d printing for sure. I think, though, that there is no legitimate reason to call them anything but human, regardless of their personal feelings on just what they are. After all, it is part of the human condition to be batshit insane, they were still born human, they still have human DNA, and they still are the same nutjob they always were. They just got what they were asking for: crazy weird body mods.
A body modification is kinda like scar tissue over a missing limb, I suppose. You had an arm there when you were born, your genes coded for it, but now you don't and there's skin there that isn't supposed to be; an injury you've accumulated that your body has adapted to, treating it as any other part of your body for the sake of self-perpetuation. You grafted a tail onto yourself, the tail was made of your own tissues and printed with functional blood capillaries, and connected to the base of your spine, with appropriate arterial connections. I would think that, because the tissue is your own, it would be treated by your body as any skin tab or whatever developing off of you, and blood would be circulating through it to keep the tissues alive and healthy. You couldn't really claim it's fully functional, I guess, unless we develop a way to force nerve connections and a therapy to help learn to control muscles that didn't exist when we were children. I'd also imagine that if you couldn't develop sensory nerve connections, then you might not realize when your tail has been injured, and serious health concerns could develop for these people as a result.
So they're still humans, they're not necessarily disabled by any means but they're definitely badly deformed in terms of comparing their natural phenotype to their current form.
Modifying the genes of your children to make them appear as anthros is freaky, and frankly I think that is unethical and unfair to them, as they could develop many new conditions that can't get appropriate treatment simply because you've been screwing with their genes and doctors don't have a way to treat them, and their social lives, and subsequently mental health, would be an utter wreck. Hell, any mistake in gene splicing could result in some condition that is going to be outright fatal, and some of them might not appear until later in development because they aren't activated until then.
Any adult getting gene splices... I don't even know how that would play out biologically, but if you didn't develop some funky weird tumor and deformed skin follicles instead of the neat new snout and fur you were hoping for, it's still just a weird body mod for a nutter that wants it.