What photos of HD-1A are you referring to?
This is the brochure that you posted, with a description of HD-1A. As is visible, it has 4 air intakes ,just like the ground launch version:
Then there is this one, with a caption saying it is the HD-1A, even though it is written HD-1 on the missile. It looks like the ground vehicle launch version but without a booster. Unclear what platform is supposed to launch it?
Compare to the same missile with the booster:
Finally, we have the new missile Deino posted, labeled as HD-1A, but quite different in look from HD-1. Only two air intakes, that have a visibly different shape and length compared to HD-1. Also, the rear fins are arranged differently compared to HD-1. Therefore, either the brochure is wrong or this missile is mislabeled?
It looks more similar to the French ASMP-A missile, than to HD-1: