Re: Taiwan's 1st indigenous advanced jet trainer
M-346 and Yak-130 are related designs, yes. There's a Chinese knockoff of it as well, a Shenyang, I believe, although it's design varies a lot more than the differences between the Aermacchi and the Yak.
T-7 is all-new.
This Taiwanese trainer is obviously a version of their FCK-1 Ching Kuo fighter.