I have seen that kind of discussion before in various forums where one person (or more) will object to someone else using a term in a way that they say is not the proper use, even though there is much evidence that the term has been used the 'improper' way many times before by many other people. Sometimes we just need to realize that people use different words differently than we do; doesn't make one more or less right.
The reason there are scientific names for trees is to make sure we are talking about the same thing; common names can be confusing; poplar, or cedar, for example. "Slab" has many uses not associated with wood and in many cases would refer to a rather large, rather flat piece; a slab of granite, for instance.
My father's uncle had a sawmill while I was growing up and I learned that a slab was the rounded part cut off a log on one or more sides to square it up to saw lumber from the log. And when it is squared up it is a cant. So, is there any difference between a cant hook and a log wrench? Two terms that I think name the same thing.