This debate is interesting to me. As a biology teacher, of course these proper terms are taught to kids by the time they are sophomores and are preferred usage when discussing them in my class. However, for me, since I am neither religious nor old school when it comes to how proper I expect people to speak, I accept that my students will occasionally say words that are from their common jargon (as I see it, one can speak of sexual anatomy in three ways: 1) scientific terminology, i.e. penis 2) cutesy/affectionate/joking manner, i.e., wee wee, or 3) what some would consider vulgar, i.e. c**k) as I understand that they usually speak of these anatomical items with their friends, not their parents (I can't recall a single time where I said the word "penis" to my parents). And as such, I do not discipline them for not using the words "penis" or "vagina", but do encourage them to use the proper terminology when speaking of them in class. However, one must realize that this makes them very uncomfortable because clearly, some parents teach them the proper terms (sometimes added with it some shame or guilt concerning talking about them) and some teach them cutesy terms for anatomy. Either way, kids are uncomfortable using proper terminology because they somehow attach it to something they really aren't supposed to be talking about (again, the religious guilt thing...I remember it well from Catholic school), so they use cutesy terms.
Anyhow, the reason I said all that is because I think it's important to realize that people usually know the proper terminology but may not feel comfortable using it (even as adults), especially in a forum where posters may not feel comfortable because they are new or they don't know everyone (or they are scared someone is going to make them feel bad for asking a question). However, I definitely agree that every chin owner should be able to identify the "down there" region, if only for sex identification.
Additionally, realize that some people have different senses of humor and humor is a coping mechanism people use to deal with stressful situations. And some people just have affectionate nicknames that they like to use, it doesn't make them less intelligent than you, and I am sure most of the time they can tell you the general term for what ails their chin even if they use a nickname for it.
So while I think that you asking people to use the "correct terms" is a valid request, but it is just that, YOUR request. It may or may not change people's rhetoric but it might alienate some people who really feel uncomfortable with using the proper terms. I think if you put yourself in the place of a teacher (which essentially you would be if you are going to give advice about an emergency situation), you would realize that everyone has a different comfort level when discussing "forbidden" areas (it may be easier to just translate it in your head when they say cutesy terms or ask for more specifics), so they may revert to using common jargon to make it easier for them to talk about what is going on. You must admit, at least they're not saying things like "how do you do a hair ring check on my chinnie's c**k", or "there is some sort of discharge from my chin's pu**y"....wouldn't that be a lot worse?
It is more pedagogically effective to support those who do not use the proper terms (or the terms you want them to use) by using vocabulary that we all speak (or want them to speak) so they become familiar with those terms and see that those are the terms forum members want them to use. In time, the beginners will use the language they need to use in order to communicate with the advanced owners/breeders. Remember, we all started out as beginners.