Not every time to be exact. J16 got the Golden Helmet (well, a crew flying the J16 did) in 2018, and apparently 雾都雄鹰 or unit 95478 won at least one Golden Helmet in 2020.Let's not forget that J-10C has won Golden Helmet non stop ever since its induction and beaten J-16 every time. Both have their advantages and disadvantages and that's why they are meant to complement each other.
My personal take from a number of official military reports is that the J-16 seems to have a bit more going for it in BVR fights as I remember quite a few reports saying the J-16 is the first to have a lock-on and to fire, but generally the J-10C is superior in dogfights. There’s also a report a few months back mentioning a pair of J-10C won over 2 J-16 using “some new radar function”, details are kept vague of course. The two platforms are both good at air-to-air combat and they seem to very much complement each other.
p.s. apparently 雾都雄鹰 has around 8-9 golden helmets, those guys are a bunch of beasts