True.
HQ-10 however does not need a fire control radar. It does need an air search radar, which can tell the HQ-10 launcher where to point at. The best way to look at it is to look at the Type 056.
You just need that rotating radar on the top. I think this already equips the Type 071, the Type 901, the 903 and the 053H3 refits.
CIWS has limited range and accuracy. It is well understood that a 76mm could do ground support, attack land targets and still act as a dual role CIWS against aerial targets and cruise missiles.
For that, lets use the 76mm gun instead of the HQ-10, then add the Type 347G FCR (the dish or rice hat like thingie) and/or EO balls (see the thingies at the top of the bridge here).
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