Why is it misleading?
You have expressed your doubts re hawking Radiation and I have offered reputable links supporting the HR concept.
I do not at this stage see your comments offering anything new other than negativity due to your personal unsupported agenda re BHs and GR.
Nobody expects that you will post anything except what you name "reputable link". The really funny thing in this case is that you have initially responded with a "reputable link" to
http://math.ucr.edu/home/baez/physics/Relativity/BlackHoles/hawking.html which I know because it was copied into the email notification about your posting. Strangely, this link has disappeared. Hm, why? Was there anything wrong with it? Yes, of course,
Modified by Ilja Schmelzer 1997.
Original by John Baez 1994.
thus, it cannot be reputable by definition
The link is, anyway, quite irrelevant, 1997 I was not aware of the trans-Planckian problem and, so, the article is not about this problem at all.
Whatever, nobody expects that you see anything in any argument against a popular mainstream position except an anti-mainstream agenda. Which you will, of course, name unsupported, independent of the amount of argumentation which has been given, and independent of the fact that you have not even tried to explain why you think that the support which has been given is insufficient.
Despite this hopelessness, I will try to explain the argument already given in some more detail. So, we have this mystical virtual particle pair, similar to the popular explanations given for Hawking radiation, outside the star. One of the particles is flying away, as in Hawking radiation, the other one, with negative energy, falls down toward the star, and obtains enough energy by falling down into the black hole or onto the star. What is the difference between the two situations, one with the stable black hole, the other one with a stable star? There is none, at least none which seems relevant for considering this story as an acceptable explanation.
But there is an important difference in the prediction about Hawking radiation. Namely, that a stable star does not Hawking-radiate, even according to the mainstream of Hawking radiation theorists. And even if there is a collapse, and the collapse stops at some finite distance, Hawking radiation stops too. See Paranjape, Padmanabhan, Radiation from collapsing shells, semiclassical backreaction and black hole formation, Phys.Rev.D 80:044011 (2009),
http://arxiv.org/abs/0906.1768v2 which is much more reputable than anything you have linked, because Phys. Rev. is one of the most prestigious journals of mainstream physics, if not the most prestigious one at all. (I will, by the way, not publish in this journal, out of principle, because to publish there one has to pay. Mainstream scientists do not have to care about this, because anyway their institute will pay. But even if not, they would pay, because this would be a good investment for their future scientific career.)
Thus, the "explanation" based on virtual particle pairs should be rejected because it suggests wrong predictions about Hawking radiation for stable stars.