1) I still expect the majority of the scientists involved to be biased against authenticity .
They were looking for
dates, nor for authenticity. A first century date wouldn't prove anything beyond the interesting fact that herringbone weave cloth was present in the first century.
Let's turn this around. Suppose they were "pro-authenticity" and pushed for a 1st century date: how would this show that the shroud was used to wrap the temporarily dead body of the son of God? Also, why was there no 3-D distortion on the shroud? Did Jesus bleed tempera paint?
2) I still suspect that the dating sample had slight signs of patching -- and chemically, was not representative of the greater Shroud. (I'll try to substantiate these suspicions as soon as possible.)
Textile experts who were actually there and who actually examined the cloth, hands-on, with magnifying glasses and microscopes, have said there is no patch.
And you, an armchair theorist with no expertise on the subjects at hand, who is admittedly biased and has only seen photographs, most of them online, can detect an "invisible" patch? Really?

What kind of special training have you had that can trump experts in ancient textiles, paleontology, chemistry, and radiocarbon dating?
3) I figure that an anti-authenticity observer, might notice such slight signs of a problem, but discount them -- in part -- because of his bias.
How do you identify an anti-authenticity observer? How do you know which way they are biased? How do you know which anomalies are significant, and to what degree? What qualifications do you have to judge them by? How could they have effected the test results? Do you even know how the test results are achieved?
4) I don't, yet, fully understand the accusations about the statistics, but superficially at least, these accusations could be true, and also -- in part -- the result of bias.
Wait. You don't fully understand arguments against your statistics, yet you think they are a result of bias? Really? What are you talking about?
5) I don't think it's possible -- minus blinding -- to be sure that we've covered all the possible ways that observer bias could influence research conclusions.
That is the most weaselly thing I have read in...oh, about a month. "We don't know how the results could have been biased, therefore Jesus."
Are you going to posit that the researchers' bias against a 1st century date affected the equipment somehow? That would be my next guess.