Yeh mine’s an aoyue 936A. I noticed a while ago, that they’ve since been re-named, so they have a 936, and then <some other name> which is the 936A, but with a less-hakko-ish name for international distribution. My guess is that hakko were not comfortable with it being so close
Check out their website to get that name, it might give you a few more options.
With stuff like this, at least with the ‘el-cheapo’ types, I try to avoid digital stuff like the kada 936D - just seems to me to be more susceptible to breakdown/harder to fix in that situation.
The clone on the headfi site is actually a clone, as opposed to what is almost surely a re-badged hakko from the same factory (the aoyue 936A) - you’ll notice small differences in the casing and handle etc.
The ebay one you saw is still from the same factory but I guess probably not so nice as the (suspected) hakko rebadge. I’m not sure if the genuine hakko parts will go in that one?