Tzatziki/cacık

I think most English speakers would pronounce "tzatziki" as it is spelt. Which is not how you'd say it in Greek where "tz" is a digraph representing the "j" sound. The same food in Turkish is "cacık", with "c" also representing the "j" sound (the dotless "ı" is pronounced like the "i" in "cousin").

Dunno where the word ultimately comes from, the Greek presumably comes from the Turkish but "cacık" doesn't sound much like an originally Turkish word, even though it has vowel harmony. Armenian maybe?

And do any English speakers without Greek connections try to pronounce it the Greek way?