So, in some sense, we are pronouncing the words "wrong," in the sense that we are not pronouncing them as they were originally pronounced. But does or should that matter? With respect to Dominic Bnonn Tennant (who provides three nice reasons opposite to mine), the answer is no.
After all, the New Testament itself does not provide Greek transliterations that would lead to identical pronunciations of the Hebrew proper names that are being referenced. Instead, the New Testament generally applies the same kinds of transliteration concepts that we see in the ancient Greek translations of the Old Testament.
Thus, for example, the name "Jehovah," is not even transliterated, but merely replaced by κύριος (kurios). Likewise, the name "Jesus" is actually a transliteration for the same Hebrew name we transliterate in the Old Testament as "Joshua."
That first example is also the rebuttal to one of DBT's "particularly egregious examples." DBT argues:
The fact that we inherited a silly Jewish superstition that YHWH should be pronounced “Adonai” (lord) in Hebrew, because to say the actual name of God amounted to blasphemy, is not a good reason to render it “LORD” in English.The problem with that argument is that we seem to have inherited it from the Holy Spirit who inspired the New Testament, in which the quotations of the Old Testament do not transliterate YHWH. I'm not saying that transliteration is forbidden - but I think calling it a "silly Jewish superstition" seems extreme.