Contact with the "-H" suffix...
Contact without the "-H" suffix...
Part number SSH-003T-P0.2-H is a newer version and is called a "high-pressure contact type" compared to the older SSH-003T-P0.2. The contact point of the contact was modified for a more assured connection and to help prevent the contact from warping when mating with the header posts.
Both contacts share the same application crimp tooling for terminating to the applicable wire.