If there's one thing Dwarves do well, it's keep their language secret. Khuzdul
wouldn't be in the Haradric tounges.
To be frank, there wouldn't be one "Haradrim" speech. Look at the Orks - they
all had one tounge back in the old days, but by the 3rd age when two tribes
talk they usually use the common speech, so fragmented have their languages
become. Harad is a region, literally South. Within it would be the realms of
Umbar, of Khand, peoples of Near Harad, lands of Far Harad...and in Far Harad I
doubt any words of the Middle-earht we see would have been heard.
No, I think it's likely they had their own tounges, linked to each other, but
varying from strange-sounding to very different from each other between the
differne nations (think of Europe - many different languages in a relatively
small
area).
"For I am Olórin! And Olórin means me!"