ANY vet can also draw blood, as well as vet interns.

Before I learned to draw it myself, I would take them to my local clinic and an intern would draw it for me for $10 per goat.
In the other thread you mentioned, Mrs. H was right, home herds and commercial herds have vastly different standards.
We tend to become overly agitated about disease and testing, because an outbreak of disease can be SO devastating for a home herd. But honestly, not ALL untested goats have CL or CAE, just like not ALL deer (who are also susceptible to both diseases) have CL and CAE.
Both tend to be more prevalent in meat herds, due to the fact that many meat goats tend to culled and butchered before the more obvious signs of the diseases show up. Also, dairy does are often handled twice per day, where signs and/or symptoms of disease would be noticed and recognized...whereas in many meat herds, the does and breeding bucks might only be handled a few times per year.
BECAUSE both diseases often cause a lack of thriftiness and poorer production, some culling of diseased animals has occurred even in un-tested herds.
So, when you go to your friend to get goats, simply have the goats you are buying, or their dams if they are young, tested for the diseases. It is not a SURE thing that your friend's animals are diseased.
You can also ask your friend if she tests. Some folks decided to go the route of testing and culling their herd until they had ONLY disease-free goats, test a couple more times to ensure they stayed that way, and then closed their herd, allowing no outside goats. They might not have tested in 10 years, but because they have been really careful and have not allowed outside animals to spread cooties amongst their herd, they have maintained a disease-free status.
Some folks have management practices where they simply raise kids on prevention, by pulling kids at birth and only bottle feeding them pasteurized milk. If kids are then raised completely separate from the rest of the herd, one can conceivably have a disease-free herd in a few generations.
Many of us are adamant about, and push testing, because if ALL goat breeders tested, and knew the health status of their herds, and managed appropriately with vigorous raising and culling practices, these diseases could be nearly eradicated (like they did with equine infectious anemia and coggins tests) in less than a decade. The tests are not that expensive, and there is no reason why breeders should not be responsible and do their part to help eliminate these incurable, and in the case of CL and Johne's, transmittable to humans, diseases.