I'm the one who asked the question. I can kick it off with a partial answer based on what I can tell
Calishite
Arabic, but I'd want someone else to look into this one.
A few of the men's names are only one letter off from real Arabic names: Mehmed, and Suleiman. Khalid is an Arabic given name and surname.
I don't recognize many of the names on the list. I know in the real world, there are many varied cultures that use some Arabic given names, so if this list is is more mixed with Turkish or Persian, or some other language, I'd like to know.
Chondathan
Germanic.
This is the default set of names in the region of most adventures. I think the idea is that these are meant to sound medieval to English speakers.
I would like someone else to weigh in on whether these are meant to sound more Norse, or if the other names in the list seem to come from other cultures.
Randal, Helm, Grim, Darvin, Kerri, and Rowan are real names in English and other Germanic languages. The surnames are all English word pairs that sound a little more fantastical than real word-pair surnames. I think this is intended to remind people of Medieval England in a standard fantasy setting.
The "JH" letter pair is puzzling. I think one of the 4th edition names examples was Jhonn, so maybe in D&D, the Fantasy English language uses "jh".
Damaran
Slavic, but I'd want another opinion.
I think Orel, Grigor, Pavel, Olma, and Kara are all real Slavic names. Other names are similar to Fyodor, Katerina, Natalia, and maybe Igor and Josef. The surnames often have the -ov ending in Slavic names. The -sk ending occurs in some place names in Russia.
Illuskan
I can't tell. I suppose it's non-specifically Northern European.
Olga is a Slavic name. The name "Mara" is a cognate of "Mary" and occurs in many languages. Having many words ending in "th" might be to remind us of Old Norse. ("Th" is a rare sound in the world, but it occurs in English, Old Norse, and some forms of Greek and Hebrew.) "Ander" looks clearly related to "Andrew", especially the Scandinavian form of "Anders". The surnames are dramatic pairs of English words.
Mulan
I can't tell.
My number one guess is ancient Egyptian. Ancient Egyptian names often are written with hyphens and I think they often end in "et". The "th" sound does occur. I can also see this being based on Babylonian languages, a mixture of ancient languages, or something completely different.
Rashemi
Slavic, but I'd want another opinion.
"Vladislak" looks like "Vladislav". Slavic women's surnames end in "a". If the "y" in "Dyernina" is a consonant sound, that may be imitating Slavic languages. (enkriptor pointed out that if the "y" is a vowel sound, this name doesn't sound as Slavic).
I think it's surprising to have two Slavic-inspired name lists that are very different from each other. That makes me suspect that I made an error somewhere.
Shou
Mandarin Chinese
These are all one syllable. Chinese words are often one syllable, even if Chinese given names are usually two syllables. The spellings of Chao, Jia, Qiao, and Shui are specifically based on the Pinyin spelling system. Some of these are well-known Mandarin names (Chen, Bai, Long, Mei, Jun). A few of these are not valid Mandarin syllables, but they are close enough for a fantasy analog language or for other Chinese dialects.
Turami
Many Romance examples, at least one Germanic example.
Many of these names are real names in Spanish, Portuguese, or Italian. Others are different by swapping a letter (Diero/Diego, Rimardo/Ricardo) or adding an N. "Salazar" is a name of Basque origin, but it's been borrowed into Portuguese or Spanish.
This isn't the whole story. Vonda is a Germanic name.