I thought you would know that more about that than me than me.
The short answer is conservative Baptist is used to describe Baptists which are in conventions that Independent and Fundamentalist regard as more Evangelical than Independent and Fundamental, ie., SBC or CBA.
I am well aware that IFBs consider Baptists such as the SBC are liberal yet the fact is they most certainly fall under the category of conservative Baptists, regardless if some parties may seem to exclude IFB as being referred to conservative Baptists. They certainly are not liberal or moderates.
Yet they are so relatively small that excluding them was inconsequential to my statement, and if you think otherwise then go back to that thread.