Dr. Bock:

" Hopefully a statistician can let us know how much this throws off the numbers."

In that paper, the authors said (page. 24):

(Kilty and Elliot): "If we consider Yoseh as meaning more than merely finding the inscription \Joseph" on a ossuary, how does this change arguments based on probability? (...) the name Yoseh is so rare that it changes probabilities and expectations by a factor of about 29. if we repeat the calculation using Bayes' Theorem
that we made in Equations 4 through 6 using the name Joseph rather than
Yoseh, the probability P(B) becomes 0.0010025 and the a posteriori proba-
bility falls to around 6%. This is only one-eighth the value (49%) obtained
using Yoseh in the calculation"

So, Kilty and Elliot freely admit that using Yoseh as a rare name (like mariamenou'mara), rather than a equivalent to the much more common name Joseph/Yehosef, increase (or inflates) the probabilities by a factor of 8 ("probability falls to around 6%").

But, I think that great majotity of scholars agree with Stephen Pfann that: “Yoseh” (Hebrew) with its equivalent “Iose” (Greek) is by far the most common shortened name for Yehoseph/Joseph from the second century BCE until the first century CE"
(For e.g: Yoseh the Gallilean, Yoseh b. Yo’ezer, Yoseh b. Yohanan, and many others), and NT provides both Yose and Joseph for Jesus’ brother.

Nehemias