@John *********
It doesn't matter and that's not the point. You're drifting off into some irrelevant discussion that has nothing to do with the point here, which is the name of this border.
The name of the border on the Thai side is Aranyaprathet, which is Aranyaprathet district. Khlong Leuk is a sub district of Aranyaprathet district. On immigration stamps, it says "Aranyaprathet, Thailand". The town center is 5km from the border.
Poipet is the city and also the name of the border crossing on the Cambodian side which is reflected in their immigration stamps.
I've crossed at this border a number of times over the years, though these days I generally don't cross there anymore. I sometimes pass through town, as there's a sparsely traveled highway north towards Buri Ram which is a good alternative to the heavily trafficked route 304 or mittraphap highway, if heading to Surin or even Southern Laos (Pakse).