It is a little hard to discern exactly what the point of the article is. But if I understand it correctly, it is saying that in terms of historical evidence for the existence of Christ, the witness of the gospels is more compelling than the presence of objects reported to be 1st Century artifacts (associated with Christ). I don’t really find fault with such a line of reasoning, although I would take it a step further and point to the entire living witness of the Church (which includes the Bible) rather than singling out the Bible alone. In light of all this, I think the article is more about “relic bashing” than “Christ bashing”.
In terms of “relic bashing”, I would point out that I don’t think many people believe in the existence of Jesus because of the objects discussed in the article (so the premise of the article seems off-base). These tend to be items used for devotional purposes for those who already believe. The exception is probably the Shroud of Turin, which some people have stated was instrumental in their conversion. I don’t think the article treats the Shroud of Turin fairly because there is a lot of valid debate over the accuracy of the radiocarbon dating process that was cited (none of which was acknowledged by the author).