So I wasn't the only confused one.
I have a deep-seated personal dislike of the term "half-post", which has its origins in something relevant to bottle making, but subsequently got used everywere.
Basically, it's exactly the same as a partial casing, which does not extend to the neck or rim of whatever it is on.
I'm on a mission to replace the term "half post" with "partial casing".
I can't make out from your pics what's going on, but can you find the top of a layer of casing that doesn't reach the top of your jugs?