I think you have the correct part numbers.
There is often confusion with KoKen because they offer so many variations, especially in impact sockets, as these industrial tools are a big part of their business.
KoKen offer two styles of impact socket, the standard
And the thin wall
I have the standard in 1/2” drive and they’re great.
They also offer at least 4 different lengths, but only in the “thin wall” style. The 3/8 semi deeps are these
And the 1/2” are these
As you can see, you have the correct part numbers.
It’s probably worth downloading the KoKen catalogue from their website.
I always quote the part number when ordering because it’s too easy to say “I want a set of Impact Sockets, 1/2” Drive, Metric, Standard Length, Thin Wall” and think you’ve covered every variable only to find you are sent 12 point!