I don't think the name needs to show relation to the Slipped Buntline. The central aspect of the Slipped Buntline is the Two Half Hitches that pinch tighter as the load on the standing end increases. ABOK #1809 does not have the Two Half Hitches in there. It's something else in there, not quite a Figure 8 or something. Yes, ABOK #1809 does get tighter like the Slipped Buntline does, but so do a lot of other hitches.
I see the Buntline as being more related to Two Half Hitches, and those two names are not obviously related. Also, if there is going to be a renaming of this hitch, then the name should apply to the hitch without the slip in there. The slipped version should be called "Slipped [New Name]".