I probably should have mentioned this in the first place but, this particular PQR is from one of our vendors and, based on their past performance, it will take weeks for them to revise it no matter how trivial the change is. So, I'd like to try to argue the point with our inspector to get it approved now and start work rather than try again in a few weeks.
...But, I can certainly see your point about having a signature and I would tend to agree in principal: Anyone could type anyone's name there so, a signature suggests that this person really did look at the piece of paper at some point (even if it was only long enough to find out where to sign it).
That also brings up the point of who should sign it: The person that witnessed the coupon being created? The person that prepared the PQR? The person that approved the PQR? Or, the person responsible for maintaining all of our WPS and PQR documents? And what if multiple people are/were involved in any of those steps? As you all have said, it's not really required by the code, it's just a feel-good thing to have (no argument there) so, there's no clear basis for choosing who signs it either or what their responsibilities might be before and afterward.
If you're looking at the PQR as a legal document that may be brought up during litigation with the signer having to take some personal financial responsibility for any consequences that any errors or omissions in the PQR eventually lead to who signs it then? Also, according the my legal dictionary, "The term signature is generally understood to mean the signing of a written document with one's own hand. However, it is not critical that a signature actually be written by hand for it to be legally valid. It may, for example, be typewritten, engraved, or stamped."