But the author of the article (not Boerhaave) seems to be missing several points:
1) a wound inside the mouth is protected by tissue all about, and body temperature is maintained as well. An external wound is ~half open to the world and has no temperature maintenance on the open surface. Temperature is important for the immune system to perform.
b) concerning the phrase "saliva is efficacious in cleansing foul wounds": what Boerhaave is saying is that licking one's wounds is efficacious. He's not merely speaking of saliva floating about a wound inside a closed mouth. The common phrase "to lick one's wounds" is not a false euphemism and is not limited to animals other than humans. Licking a wound can help heal it, sucking a wound can remove material that has been inserted into a wound and can quickly route fresh blood to a wound site, aiding healing and flushing out foreign material.
https://www.quora.com/Does-licking-your-own-wound-help-heal-...
https://www.sciencedaily.com/releases/2008/07/080723094841.h...
http://www.science20.com/news_releases/histatin_why_licking_...